Pavel I. Naumkin

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All published works

Action	Title	Year	Authors
+	Large time asymptotics for the modified Korteweg–de Vries-Benjamin–Ono equation	2024	Nakao Hayashi Jesus A. Mendez-Navarro Pavel I. Naumkin
+	Blow up of solutions to nonlinear Neumann boundary value problem for Schrödinger equations	2024	Nakao Hayashi Elena I. Kaikina Pavel I. Naumkin Takayoshi Ogawa
+	Modified scattering for the higher-order KdV–BBM equations	2024	Nakao Hayashi Pavel I. Naumkin
+	Asymptotics of solutions to the periodic problem for the nonlinear damped wave equation with convective nonlinearity	2024	Rafael Carreño‐Bolaños Pavel I. Naumkin
+	Modified scattering for the fractional mKdV equation	2023	Nakao Hayashi Pavel I. Naumkin
+	Modified scattering for the fractional nonlinear Schrödinger equation with $$\alpha \in ({3 \over 2},2)$$	2023	Nakao Hayashi Pavel I. Naumkin Isahi Sánchez-Suárez
+ PDF Chat	Large time asymptotics for the fractional modified Korteweg-de Vries equation of order $$\alpha \in \left[ 4,5\right) $$	2023	Rafael Carreño‐Bolaños Pavel I. Naumkin
+	Asymptotics of solutions for the fractional modified Korteweg–de Vries equation of order $$\alpha \in \left( 2,3\right) $$	2023	Rafael Carreño‐Bolaños Nakao Hayashi Pavel I. Naumkin
+	Modified scattering for the derivative fractional nonlinear Schrödinger equation	2023	Nakao Hayashi Pavel I. Naumkin
+ PDF Chat	Modified scattering for the nonlinear nonlocal Schrödinger equation in two space dimensions	2023	Nakao Hayashi Pavel I. Naumkin
+	Logarithmic nature of the long-time asymptotics of solutions of a Sobolev-type nonlinear equations with cubic nonlinearities	2023	Pavel I. Naumkin
+ PDF Chat	Logarithmic nature of the long-time asymptotics of solutions of a Sobolev-type nonlinear equations with cubic nonlinearities	2023	Pavel I. Naumkin
+	Large time asymptotics of solutions to the periodic problem for the quadratic nonlinear Schrödinger equation	2022	Nakao Hayashi Pavel I. Naumkin
+	Modified scattering for the higher-order nonlinear Schrödinger equation with the Hartree-type nonlinearity	2022	Nakao Hayashi Jesus A. Mendez-Navarro Pavel I. Naumkin
+	Large time asymptotics for the fractional modified Korteweg-de Vries equation with $$\alpha \in \left( 2,4\right) $$	2022	Nakao Hayashi Pavel I. Naumkin Isahi Sánchez-Suárez
+ PDF Chat	Asymptotics of solutions to periodic problem for the Korteweg–de Vries–Burgers equation	2022	Pavel I. Naumkin José de Jesús Villela‐Aguilar
+	Asymptotics for the fractional nonlinear Schrödinger equation with $$2<\alpha <\frac{5}{2}$$	2022	Nakao Hayashi Jesus A. Mendez-Navarro Pavel I. Naumkin
+	Nonlinear Neumann boundary value problem for semilinear heat equations with critical power nonlinearities	2021	Nakao Hayashi Elena I. Kaikina Pavel I. Naumkin Takayoshi Ogawa
+ PDF Chat	Modified scattering for the nonlinear nonlocal Schrödinger equation in one-dimensional case	2021	Nakao Hayashi Pavel I. Naumkin
+	Modified scattering for the higher-order anisotropic nonlinear Schrödinger equation in two space dimensions	2021	Nakao Hayashi Pavel I. Naumkin
+	Modified scattering for higher-order nonlinear Schrödinger equation in one space dimension	2021	Nakao Hayashi Pavel I. Naumkin
+	Modified scattering for higher-order nonlinear Hartree-type equations	2021	Beatriz Juárez-Campos Pavel I. Naumkin Hector F. Ruiz-Paredes
+	Scattering operator for the fourth order nonlinear Schrüdinger equation	2021	Nakao Hayashi Yuichiro Kawahara Pavel I. Naumkin
+ PDF Chat	Asymptotics for the higher-order derivative nonlinear Schrödinger equation	2021	Pavel I. Naumkin Isahi Sánchez-Suárez
+	Large time asymptotics for the higher-order nonlinear nonlocal Schrödinger equation	2020	Beatriz Juárez-Campos Pavel I. Naumkin
+	Asymptotics for the fourth-order nonlinear Schrödinger equation in 2D	2020	Pavel I. Naumkin
+ PDF Chat	KdV type asymptotics for solutions to higher-order nonlinear Schrodinger equations	2020	Pavel I. Naumkin Isahi Sánchez-Suárez
+	Periodic problem for the nonlinear damped wave equation with convective nonlinearity	2020	Rafael Carreño‐Bolaños Beatriz Juárez-Campos Pavel I. Naumkin
+	Fractional nonlinear Schrödinger equation of order <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:mi>α</mml:mi><mml:mo>∈</mml:mo><mml:mrow><mml:mo stretchy="true">(</mml:mo><mml:mn>0</mml:mn><mml:mo>,</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy="true">)</mml:mo></mml:mrow></mml:math>	2020	Pavel I. Naumkin
+	Higher-order nonlinear Schrödinger equation in 2D case	2020	Nakao Hayashi Pavel I. Naumkin
+	Large time asymptotics for the fractional nonlinear Schrödinger equation	2020	Nakao Hayashi Pavel I. Naumkin
+	Dissipative character of asymptotics for the nonlinear fractional Schrödinger equation	2019	Pavel I. Naumkin
+	Modified KdV equation with higher order dispersion terms	2019	Pavel I. Naumkin Jhon Pérez
+	Fractional nonlinear Schrödinger equation	2019	Jesus A. Mendez-Navarro Pavel I. Naumkin Isahi Sánchez-Suárez
+	On the factorization technique for the dispersive nonlinear equations	2019	Pavel I. Naumkin
+	Dissipative property for higher order nonlinear Schrödinger equation	2019	Pavel I. Naumkin Isahi Sánchez-Suárez
+	Оценки убывания решений задачи Коши для модифицированного уравнения Кавахары	2019	Pavel I. Naumkin
+	Self-similar asymptotics for solutions to the intermediate long-wave equation	2019	Fernando Bernal-Vílchis Pavel I. Naumkin
+ PDF Chat	Quadratic nonlinear Klein–Gordon equation in 2d, Cauchy problem	2019	Nakao Hayashi Pavel I. Naumkin
+	Time decay estimates for solutions of the Cauchy problem for the modified Kawahara equation	2019	Pavel I. Naumkin
+	Asymptotics of solutions of a modified Whitham equation with surface tension	2019	Pavel I. Naumkin
+	Asymptotics of solutions of a modified Whitham equation with surface tension	2018	Pavel I. Naumkin
+ PDF Chat	Critical nonlinear Schrödinger equations in higher space dimensions	2018	Nakao Hayashi Chunhua Li Pavel I. Naumkin
+ PDF Chat	Large time asymptotics of solutions for the modified KdV equation with a fifth order dispersive term	2018	Nakao Hayashi Pavel I. Naumkin
+	Asymptotics for the modified Boussinesq equation in one space dimension	2018	Nakao Hayashi Pavel I. Naumkin
+	On the modified intermediate long-wave equation	2018	Pavel I. Naumkin Isahi Sánchez-Suárez
+	Higher-order derivative nonlinear Schrödinger equation in the critical case	2018	Pavel I. Naumkin Jhon Pérez
+ PDF Chat	High-Speed Transmission in Long-Haul Electrical Systems	2018	Beatriz Juárez-Campos Elena I. Kaikina Pavel I. Naumkin Hector F. Ruiz-Paredes
+ PDF Chat	Factorization techniques for the nonlinear model of quasi-stationary processes in crystalline semiconductors	2018	Beatriz Juárez-Campos Elena I. Kaikina Pavel I. Naumkin Hector Francisco Ruiz Paredes
+	Asymptotic Behavior of Solutions to Fourth-order Nonlinear Schrödinger Equations	2017	Nakao Hayashi Pavel I. Naumkin
+	Higher-order nonlinear Schrödinger equations with singular data	2017	Nakao Hayashi Pavel I. Naumkin Takayoshi Ogawa
+ PDF Chat	Asymptotics for the Ostrovsky-Hunter Equation in the Critical Case	2017	Fernando Bernal-Vílchis Nakao Hayashi Pavel I. Naumkin
+ PDF Chat	Analyticity of Solutions to the Non Gauge Invariant Schr&ouml;dinger Equations	2017	Gaku Hoshino Pavel I. Naumkin
+ PDF Chat	Upper and lower time decay bounds for solutions of dissipative nonlinear Schrödinger equations	2017	Nakao Hayashi Chunhua Li Pavel I. Naumkin
+ PDF Chat	Global existence of small solutions for the fourth-order nonlinear Schrödinger equation	2016	Kazuki Aoki Nakao Hayashi Pavel I. Naumkin
+	Damped wave equation with a critical nonlinearity in higher space dimensions	2016	Nakao Hayashi Pavel I. Naumkin
+	Asymptotics for the fourth-order nonlinear Schrödinger equation in the critical case	2016	Nakao Hayashi Jesus A. Mendez-Navarro Pavel I. Naumkin
+	Large Time Asymptotics for the Fractional Order Cubic Nonlinear Schrödinger Equations	2016	Nakao Hayashi Pavel I. Naumkin
+ PDF Chat	Factorization technique for the modified Korteweg-de Vries equation	2016	Nakao Hayashi Pavel I. Naumkin
+	A bilinear estimate and its application to a quadratic nonlinear Klein–Gordon equation in two space dimensions	2016	Nakao Hayashi Pavel I. Naumkin
+ PDF Chat	Time Decay for Nonlinear Dissipative Schrödinger Equations in Optical Fields	2016	Nakao Hayashi Chunhua Li Pavel I. Naumkin
+	Large Time Asymptotics of Solutions for the Third-Order Nonlinear Schroedinger Equation	2016	Nakao Hayashi Pavel I. Naumkin
+	Scattering operator for semirelativistic Hartree type equation with a short range potential	2015	Nakao Hayashi Pavel I. Naumkin Takayoshi Ogawa
+	ON QUADRATIC NONLINEAR KLEIN-GORDON EQUATIONS (Regularity and Singularity for Geometric Partial Differential Equations and Conservation Laws)	2015	Nakao Hayashi Pavel I. Naumkin
+	Nonlinear Schrödinger systems in 2d with nondecaying final data	2015	Nakao Hayashi Chunhua Li Pavel I. Naumkin
+	On the inhomogeneous fourth-order nonlinear Schrödinger equation	2015	Nakao Hayashi Pavel I. Naumkin
+	The dissipative property of a cubic non-linear Schrödinger equation	2015	Pavel I. Naumkin
+	Factorization technique for the fourth-order nonlinear Schrödinger equation	2015	Nakao Hayashi Pavel I. Naumkin
+	Scattering of solutions to the fourth-order nonlinear Schrödinger equation	2015	Nakao Hayashi Jesus A. Mendez-Navarro Pavel I. Naumkin
+	Remark on a weakly coupled system of nonlinear damped wave equations	2015	Nakao Hayashi Pavel I. Naumkin Masayo Tominaga
+	Global existence and asymptotic behavior of solutions to the fourth-order nonlinear Schrödinger equation in the critical case	2015	Nakao Hayashi Pavel I. Naumkin
+ PDF Chat	Scattering Problem for the Supercritical Nonlinear Schrödinger Equation in 1d	2015	Nakao Hayashi Pavel I. Naumkin
+ PDF Chat	Диссипативное свойство кубического нелинейного уравнения Шрeдингера	2015	Pavel I. Naumkin
+ PDF Chat	Nonlinear dispersive wave equations in two space dimensions	2015	Nakao Hayashi Seishirou Kobayashi Pavel I. Naumkin
+	Large Time Asymptotics for the Reduced Ostrovsky Equation	2014	Nakao Hayashi Pavel I. Naumkin
+	Large time asymptotics for the fourth-order nonlinear Schrödinger equation	2014	Nakao Hayashi Pavel I. Naumkin
+	Large Time Asymptotics for the Kadomtsev–Petviashvili Equation	2014	Nakao Hayashi Pavel I. Naumkin
+	Logarithmic Time Decay for the Cubic Nonlinear Schrödinger Equations	2014	Nakao Hayashi Pavel I. Naumkin
+	Global existence of solutions for a subcritical nonlinear Schrödinger equation	2014	Nakao Hayashi Pavel I. Naumkin
+ PDF Chat	On the generalized reduced Ostrovsky equation	2014	Nakao Hayashi Pavel I. Naumkin
+	Nonexistence of the usual scattering states for the generalized Ostrovsky-Hunter equation	2014	Nakao Hayashi Pavel I. Naumkin Tomoyuki Niizato
+ PDF Chat	On the new critical exponent for the nonlinear Schrödinger equations	2013	Nakao Hayashi Pavel I. Naumkin
+	Asymptotics of solutions to the generalized Ostrovsky equation	2013	Nakao Hayashi Pavel I. Naumkin Tomoyuki Niizato
+	Asymptotic expansion of solutions to the periodic problem for a non-linear Sobolev-type equation	2013	Elena I. Kaikina Pavel I. Naumkin I. A. Shishmarev
+	A quadratic quasi-linear Klein–Gordon equation in two space dimensions	2013	Nakao Hayashi Pavel I. Naumkin
+	A system of quadratic nonlinear Klein–Gordon equations in 2d	2013	Nakao Hayashi Pavel I. Naumkin
+	Modified Scattering Operator for the Derivative Nonlinear Schrödinger Equation	2013	Zihua Guo Nakao Hayashi Yiquan Lin Pavel I. Naumkin
+ PDF Chat	Асимптотическое разложение решений периодической задачи для нелинейного уравнения типа Соболева	2013	Elena I. Kaikina Elena I. Kaikina Pavel I. Naumkin Pavel I. Naumkin Илья Андреевич Шишмарев I. A. Shishmarev
+	Scattering Problem for Quadratic Nonlinear Klein–Gordon Equation in 2D	2013	Nakao Hayashi Pavel I. Naumkin
+	Quadratic nonlinear Klein-Gordon equation in one dimension	2012	Nakao Hayashi Pavel I. Naumkin
+	Nonexistence of asymptotically free solutions to nonlinear Schrodinger systems	2012	Nakao Hayashi Chunhua Li Pavel I. Naumkin
+ PDF Chat	Global existence of solutions to nonlinear dispersive wave equations	2012	Nakao Hayashi Seishirou Kobayashi Pavel I. Naumkin
+	Modified Wave Operator for a System of Nonlinear Schrödinger Equations in 2d	2012	Nakao Hayashi Chunhua Li Pavel I. Naumkin
+	The far-field asymptotics of solutions of a fractional non-linear equation	2012	Elena I. Kaikina Pavel I. Naumkin I. A. Shishmarev
+	Global Existence for Two Dimensional Quadratic Derivative Nonlinear Schrödinger Equations	2012	Nakao Hayashi Pavel I. Naumkin
+ PDF Chat	Almost Global Existence of Solutions to the Kadomtsev-Petviashvili Equations	2012	Nakao Hayashi Pavel I. Naumkin Tomoyuki Niizato
+	Wave operators to a quadratic nonlinear Klein–Gordon equation in two space dimensions revisited	2011	Nakao Hayashi Pavel I. Naumkin Satoshi Tonegawa
+	MODIFIED WAVE OPERATORS FOR NONLINEAR SCHRÖDINGER EQUATIONS IN LOWER ORDER SOBOLEV SPACES	2011	Nakao Hayashi Huimei Wang Pavel I. Naumkin
+ PDF Chat	Global existence for the cubic nonlinear Schrödinger equation in lower order Sobolev spaces	2011	Nakao Hayashi Pavel I. Naumkin
+	SUBCRITICAL QUADRATIC NONLINEAR SCHRÖDINGER EQUATION	2011	Nakao Hayashi Pavel I. Naumkin
+	Remark on the global existence and large time asymptotics of solutions for the quadratic NLS	2011	Nakao Hayashi Pavel I. Naumkin
+ PDF Chat	On a system of nonlinear Schrödinger equations in 2d	2011	Nakao Hayashi Chunhua Li Pavel I. Naumkin
+ PDF Chat	Quadratic derivative nonlinear Schrödinger equations in two space dimensions	2011	Fernando Bernal-Vílchis Nakao Hayashi Pavel I. Naumkin
+	On the critical nongauge invariant nonlinear Schrödinger equation	2011	Pavel I. Naumkin Isahi Sánchez-Suárez
+	Wave operator for the system of the Dirac-Klein-Gordon equations	2010	Nakao Hayashi Masahiro Ikeda Pavel I. Naumkin
+	Asymptotics for nonlinear heat equations	2010	Nakao Hayashi Pavel I. Naumkin
+	Asymptotics of solutions to the periodic problem for a Burgers type equation	2010	Pavel I. Naumkin Cristian Jesus Rojas-Milla
+	Periodic boundary value problem for nonlinear Sobolev-type equations	2010	Elena I. Kaikina Pavel I. Naumkin I. A. Shishmarev
+	Asymptotics for large time of solutions for cubic nonlinear Schrodinger equations (Spectral and Scattering Theory and Related Topics)	2010	Nakao Hayashi Pavel I. Naumkin
+ PDF Chat	Asymptotics of solutions to the periodic problem for the nonlinear damped wave equation	2010	Nakao Hayashi Pavel I. Naumkin Joel A. Rodriguez-Ceballos
+ PDF Chat	The Initial Value Problem for the Quadratic Nonlinear Klein‐Gordon Equation	2010	Nakao Hayashi Pavel I. Naumkin
+	On a nonlinear equation with fractional derivative	2010	Elena I. Kaikina Pavel I. Naumkin Nakao Hayashi
+	A boundary-value problem for a non-linear equation with a fractional derivative	2009	Elena I. Kaikina Pavel I. Naumkin I. A. Shishmarev
+	SCATTERING OPERATOR FOR NONLINEAR KLEIN–GORDON EQUATIONS	2009	Nakao Hayashi Pavel I. Naumkin
+	Final state problem for the cubic nonlinear Klein–Gordon equation	2009	Nakao Hayashi Pavel I. Naumkin
+	Large-time asymptotic behaviour of solutions of non-linear Sobolev-type equations	2009	Elena I. Kaikina Pavel I. Naumkin I. A. Shishmarev
+	Asymptotics of odd solutions of quadratic nonlinear Schrödinger equations	2009	Nakao Hayashi Pavel I. Naumkin
+	Wave operators to a quadratic nonlinear Klein–Gordon equation in two space dimensions	2009	Nakao Hayashi Pavel I. Naumkin
+	Asymptotics of odd solutions for cubic nonlinear Schrödinger equations	2009	Nakao Hayashi Pavel I. Naumkin
+	Estimaciones en los espacios de Sobolev de la solución del problema de Cauchy periódico lineal para la ecuación de onda amortiguada	2009	Pavel I. Naumkin Joel Arturo Rodríguez Ceballos
+ PDF Chat	Краевая задача для нелинейного уравнения с дробной производной	2009	Elena I. Kaikina Elena I. Kaikina Elena I. Kaikina Elena I. Kaikina Pavel I. Naumkin Pavel I. Naumkin Pavel I. Naumkin Pavel I. Naumkin Илья Андреевич Шишмарев I. A. Shishmarev
+ PDF Chat	Neumann problem for a nonlinear nonlocal equation on a half-line	2009	Rosa E. Cardiel-Cervantes Pavel I. Naumkin
+	Nonlinear scattering for a system of nonlinear Klein–Gordon equations	2008	Nakao Hayashi Pavel I. Naumkin Ratno Bagus Edy Wibowo
+	Asymptotic behavior of solutions to a boundary value problem for a nonlinear equation with a fractional derivative	2008	Elena I. Kaikina Pavel I. Naumkin Илья Андреевич Шишмарев
+ PDF Chat	Asymptotic properties of solutions to dispersive equation of Schrödinger type	2008	Nakao Hayashi Pavel I. Naumkin
+	Asymptotic behavior for a quadratic nonlinear Schrodinger equation	2008	Nakao Hayashi Pavel I. Naumkin
+	On the Schrödinger Equation with Dissipative Nonlinearities of Derivative Type	2008	Nakao Hayashi Pavel I. Naumkin Hideaki Sunagawa
+	The initial value problem for the cubic nonlinear Klein–Gordon equation	2007	Nakao Hayashi Pavel I. Naumkin
+	Scattering operator for nonlinear Klein–Gordon equations in higher space dimensions	2007	Nakao Hayashi Pavel I. Naumkin
+ PDF Chat	Large Time Asymptotics for the BBM–Burgers Equation	2007	Nakao Hayashi Elena I. Kaikina Pavel I. Naumkin
+	Asymptotics for a sobolev type equation with a critical nonlinearity	2007	Elena I. Kaikina Pavel I. Naumkin I. A. Shishmarev
+	Subcritical nonlinear heat equation	2007	Nakao Hayashi Elena I. Kaikina Pavel I. Naumkin
+	On the Cauchy problem for nonlinear dissipative systems	2007	Elena I. Kaikina Pavel I. Naumkin Илья Андреевич Шишмарев
+	On the critical nonlinear damped wave equation with large initial data	2007	Nakao Hayashi Elena I. Kaikina Pavel I. Naumkin
+ PDF Chat	Modified wave operator for Schrodinger type equations with subcritical dissipative nonlinearities	2007	Nakao Hayashi Pavel I. Naumkin
+	Final state problem for Korteweg–de Vries type equations	2006	Nakao Hayashi Pavel I. Naumkin
+	Asymptotics for critical Rosenau type equations with nonconvective nonlinearites on a half-line	2006	Nakao Hayashi Elena I. Kaikina Pavel I. Naumkin
+	Asymptotics in the critical case for Whitham type equations	2006	Nakao Hayashi Elena I. Kaikina Pavel I. Naumkin
+	On Sobolev-type equations with critical nonlinearities	2006	Elena I. Kaikina Pavel I. Naumkin I. A. Shishmarev
+	Domain and Range of the Modified Wave Operator for Schrödinger Equations with a Critical Nonlinearity	2006	Nakao Hayashi Pavel I. Naumkin
+	ASYMPTOTICS FOR NONLINEAR NONLOCAL EQUATIONS ON A HALF-LINE	2006	Rosa E. Cardiel Elena I. Kaikina Pavel I. Naumkin
+	Asymptotics for the Korteweg–de Vries–Burgers Equation	2006	Nakao Hayashi Pavel I. Naumkin
+ PDF Chat	Asymptotics in Time of Solutions to Nonlinear Schroedinger Equations in Two Space Dimensions	2006	Nakao Hayashi Pavel I. Naumkin
+	Lower bounds of asymptotics in time of solutions to nonlinear Schrödinger equations in 3D	2005	Nakao Hayashi Yuichiro Kawahara Pavel I. Naumkin
+	ASYMPTOTICS FOR FRACTIONAL NONLINEAR HEAT EQUATIONS	2005	Nakao Hayashi Elena I. Kaikina Pavel I. Naumkin
+	Large time decay of solutions to Burgers type equations	2005	Nakao Hayashi Naoko Ito Elena I. Kaikina Pavel I. Naumkin
+	Damped wave equation with a critical nonlinearity	2005	Nakao Hayashi Elena I. Kaikina Pavel I. Naumkin
+	The Cauchy problem for an equation of Sobolev type with power non-linearity	2005	Elena I. Kaikina Pavel I. Naumkin Илья Андреевич Шишмарев
+	MODIFIED WAVE OPERATORS TO THE NONLINEAR SCHRODINGER EQUATIONS IN ONE AND TWO SPACE DIMENSIONS (Studies on nonlinear waves and dispersive equations)	2005	Nakao Hayashi Pavel I. Naumkin Akihiro Shimomura Satoshi Tonegawa
+ PDF Chat	Asymptotics for model nonlinear nonlocal equations	2005	Nakao Hayashi Elena I. Kaikina Pavel I. Naumkin Isahi Sánchez-Suárez
+ PDF Chat	Задача Коши для уравнения типа Соболева со степенной нелинейностью	2005	Elena I. Kaikina Elena I. Kaikina Pavel I. Naumkin Pavel I. Naumkin Илья Андреевич Шишмарев I. A. Shishmarev
+	Cauchy problem for non-linear systems of equations in the critical case	2004	Elena I. Kaikina Pavel I. Naumkin I. A. Shishmarev
+	Asymptotics of solutions for sub critical non‐convective type equations	2004	Nakao Hayashi Elena I. Kaikina Pavel I. Naumkin
+	Damped wave equation in the subcritical case	2004	Nakao Hayashi Elena I. Kaikina Pavel I. Naumkin
+	Asymptotics of solutions of non-linear dissipative equations	2004	Elena I. Kaikina Pavel I. Naumkin I. A. Shishmarev
+	On the asymptotics for cubic nonlinear Schrödinger equations	2004	Nakao Hayashi Pavel I. Naumkin
+	Modified wave operators for nonlinear Schrodinger equations in one and two dimensions	2004	Nakao Hayashi Pavel I. Naumkin Akihiro Shimomura Satoshi Tonegawa
+ PDF Chat	ON SOME NONLINEAR DISSIPATIVE EQUATIONS WITH SUB-CRITICAL NONLINEARITIES	2004	Nakao Hayashi Naoko Ito Elena I. Kaikina Pavel I. Naumkin
+	ON SOME NONLINEAR DISSIPATIVE EQUATIONS WITH SUB-CRITICAL NONLINEARITIES	2004	Nakao Hayashi Naoko Ito Elena I. Kaikina Pavel I. Naumkin
+ PDF Chat	Large Time Behavior of Small Solutions to Dirichlet Problem for Landau-Ginzburg Type Equations	2004	Nakao Hayashi Naoko Ito Elena I. Kaikina Pavel I. Naumkin
+ PDF Chat	Asymptotics for critical nonconvective type equations	2004	Nakao Hayashi Elena I. Kaikina Pavel I. Naumkin
+ PDF Chat	Damped wave equation with super critical nonlinearities	2004	Nakao Hayashi Elena I. Kaikina Pavel I. Naumkin
+ PDF Chat	Асимптотика решений нелинейных диссипативных систем уравнений	2004	Elena I. Kaikina Elena I. Kaikina Pavel I. Naumkin Pavel I. Naumkin Илья Андреевич Шишмарев I. A. Shishmarev
+ PDF Chat	Задача Коши для нелинейных систем уравнений в критическом случае	2004	Elena I. Kaikina Elena I. Kaikina Pavel I. Naumkin Pavel I. Naumkin Илья Андреевич Шишмарев I. A. Shishmarev
+ PDF Chat	Nonlinear nonlocal Schrödinger type equations on a segment	2004	Elena I. Kaikina Pavel I. Naumkin Isahi Sánchez-Suárez
+	Global existence and time decay of small solutions to the landau-ginzburg type equations	2003	Nakao Hayashi Elena I. Kaikina Pavel I. Naumkin
+	Asymptotics for the Burgers Equation with Pumping	2003	Nakao Hayashi Pavel I. Naumkin
+	LANDAU–GINZBURG TYPE EQUATIONS IN THE SUBCRITICAL CASE	2003	Nakao Hayashi Elena I. Kaikina Pavel I. Naumkin
+	None	2003	Elena I. Kaikina Pavel I. Naumkin Илья Андреевич Шишмарев
+ PDF Chat	Time decay of small solutions to quadratic nonlinear Schrödinger equations in 3D	2003	Nakao Hayashi Tetsu Mizumachi Pavel I. Naumkin
+	A quadratic nonlinear Schrödinger equation in one space dimension	2002	Nakao Hayashi Pavel I. Naumkin
+ PDF Chat	Large Time Behavior for the Cubic Nonlinear Schrödinger Equation	2002	Nakao Hayashi Pavel I. Naumkin
+ PDF Chat	Wellposedness and analytic smoothing effect for the Benjamin-Ono equation	2002	Elena I. Kaikina Keiichi Kato Pavel I. Naumkin Takayoshi Ogawa
+ PDF Chat	Periodic problem for a model nonlinear evolution equation	2002	Elena I. Kaikina Pavel I. Naumkin I. A. Shishmarev
+ PDF Chat	On the reduction of the modified Benjamin-Ono equation to the cubic derivative nonlinear Schrödinger equation	2002	Nakao Hayashi Pavel I. Naumkin
+ PDF Chat	Asymptotic expansion of small analytic solutions to the quadratic nonlinear Schrödinger equations in two-dimensional spaces	2002	Nakao Hayashi Pavel I. Naumkin
+ PDF Chat	Analytic smoothing effects of global small solutions to the elliptic-hyperbolic Davey-Stewartson system	2002	Nakao Hayashi Pavel I. Naumkin Hidetake Uchida
+	Asymptotics for nonlinear dissipative equations in the super critical case	2002	Rosa E. Cardiel Pavel I. Naumkin
+	Modified Scattering States for Subcritical Derivative Nonlinear Schrödinger Equations	2001	Nakao Hayashi Pavel I. Naumkin Yasuko Yamazaki
+ PDF Chat	Large time behavior of small solutions to subcritical derivative nonlinear Schrödinger equations	2001	Nakao Hayashi Pavel I. Naumkin Yasuko Yamazaki
+	Asymptotic behaviour for Schrodinger equations with a quadratic nonlinearity in one-space dimension	2001	Nakao Hayashi Pavel I. Naumkin
+	Analytic Smoothing Effect for the Benjamin-Ono Equations (非線形偏微分方程式の解の構造とその解析手法についての研究)	2001	圭一加藤卓克小川 Elena I. Kaikina Pavel I. Naumkin
+	Analytic Smoothing Effect for the Benjamin-Ono Equations (Studies on structure of solutions of nonlinear PDEs and its analytical methods)	2001	Keiichi Kato Takayoshi Ogawa Elena I. Kaikina Pavel I. Naumkin
+ PDF Chat	Scattering theory and large time asymptotics of solutions to the Hartree type equations with a long range potential	2001	Nakao Hayashi Pavel I. Naumkin
+	Global Existence of Small Solutions to the Quadratic Nonlinear Schrödinger Equations in Two Space Dimensions	2001	Nakao Hayashi Pavel I. Naumkin
+	None	2001	Nakao Hayashi Pavel I. Naumkin
+	Large-time behaviour of solutions to the dissipative nonlinear Schrödinger equation	2000	Nakao Hayashi Elena I. Kaikina Pavel I. Naumkin
+ PDF Chat	Analytic smoothing effects for some derivative nonlinear Schrodinger equations	2000	Nakao Hayashi Pavel I. Naumkin Patrick-Nicolas Pipolo
+	None	2000	Nakao Hayashi Pavel I. Naumkin
+	Analytic Smoothing Effects for Nonlocal Nonlinear Shrödoinger Equations in Two Space Dimensions	2000	Nakao Hayashi Hidetake Uchida Pavel I. Naumkin
+ PDF Chat	Cubic Derivative Nonlinear Schrödinger Equations*	2000	Pavel I. Naumkin
+	Scattering problem and asymptotics for a relativistic nonlinear Schrödinger equation	1999	Anne de Bouard Nakao Hayashi Pavel I. Naumkin Jean‐Claude Saut
+ PDF Chat	Large Time Behavior of Solutions for Derivative Cubic Nonlinear Schrödinger Equations	1999	Nakao Hayashi Pavel I. Naumkin Hidetake Uchida
+	Asymptotics for Large Time of Global Solutions to the Generalized Kadomtsev-Petviashvili Equation	1999	Nakao Hayashi Pavel I. Naumkin Jean‐Claude Saut
+	Global existence of small solutions to the generalized derivative nonlinear Schrödinger equation	1999	Nakao Hayashi Changxing Miao Pavel I. Naumkin
+ PDF Chat	Large time asymptotics of solutions to the generalized Benjamin-Ono equation	1999	Nakao Hayashi Pavel I. Naumkin
+	Analytic smoothing effect and global existence for elliptic hyperbolic Davey-Stewartson system	1999	Nakao Hayashi Hidetake Uchida Pavel I. Naumkin
+ PDF Chat	Large time behavior of solutions to the generalized derivative nonlinear Schrödinger equation	1999	Nakao Hayashi Elena I. Kaikina Pavel I. Naumkin
+ PDF Chat	Smoothing effects for some derivative nonlinear Schrödinger equations	1999	Nakao Hayashi Pavel I. Naumkin Patrick-Nicolas Pipolo
+	On the modified Korteweg-de Vries equation	1999	Nakao Hayashi Pavel I. Naumkin
+ PDF Chat	Large time behavior of solutions of higher order nonlinear dispersive equations of KdV type with weak nonlinearity	1999	Nakao Hayashi Tonatiuh Matos Pavel I. Naumkin
+ PDF Chat	Asymptotic behavior for large time of solutions to the nonlinear nonlocal Schrödinger equation on half-line	1999	Elena I. Kaikina Pavel I. Naumkin I. A. Shishmarev
+	None	1999	Nakao Hayashi Pavel I. Naumkin
+	REMARKS ON SCATTERING THEORY AND LARGE TIME ASYMPTOTICS OF SOLUTIONS TO HARTREE TYPE EQUATIONS WITH A LONG RANGE POTENTIAL	1998	仲夫林 Pavel I. Naumkin Nakao Hayashi Naumkin Pavel I.
+	Large Time Asymptotics of Solutions to the Generalized Korteweg–de Vries Equation	1998	Nakao Hayashi Pavel I. Naumkin
+ PDF Chat	Scattering Theory for the Hartree Equation	1998	Nakao Hayashi Pavel I. Naumkin Tohru Ozawa
+	ASYMPTOTICS AND SCATTERING PROBLEM FOR THE GENERALIZED KORTEWEG-DE VRIES EQUATION (Harmonic Analysis and Nonlinear Partial Differential Equations)	1998	Nakao Hayashi Pavel I. Naumkin
+	Asymptotics for large time of solutions to the nonlinear Schrödinger and Hartree equations	1998	Nakao Hayashi Pavel I. Naumkin
+ PDF Chat	On the scattering theory for the cubic nonlinear Schrödinger and Hartree type equations in one space dimension	1998	Nakao Hayashi Elena I. Kaikina Pavel I. Naumkin
+	Asymptotic behavior in time of solutions to the derivative nonlinear Schrödinger equation	1998	Nakao Hayashi Pavel I. Naumkin
+	On the scattering in Gevrey classes for the subcritical Hartree and Schrödinger equations	1998	Nakao Hayashi Keiichi Kato Pavel I. Naumkin
+ PDF Chat	REMARKS ON SCATTERING THEORY AND LARGE TIME ASYMPTOTICS OF SOLUTIONS TO HARTREE TYPE EQUATIONS WITH A LONG RANGE POTENTIAL	1998	Nakao Hayashi Pavel I. Naumkin
+	Solution asymptotics at large times for the non-linear Schrödinger equation	1997	Pavel I. Naumkin
+ PDF Chat	Asymptotic behavior in time of solutions to the derivative nonlinear Schrödinger equation revisited	1997	Nakao Hayashi Pavel I. Naumkin
+ PDF Chat	Асимптотика при больших временах решений нелинейного уравнения Шрeдингера	1997	Pavel I. Naumkin Pavel I. Naumkin
+	Scattering theory for the Hartree equation	1996	Nakao Hayashi Pavel I. Naumkin Tohru Ozawa
+	Asymptotic behaviour as $ t\to \infty$ of the solutions of the generalized Korteweg-de Vries equation	1996	Pavel I. Naumkin I. A. Shishmarev
+	Asymptotics ast → ∞ of the solutions of nonlinear equations with nonsmall initial perturbations	1996	Pavel I. Naumkin I. A. Shishmarev
+	Properties of solutions of a nonlinear system of equations	1996	Pavel I. Naumkin I. A. Shishmarev
+	Large-time asymptotic behaviour of a step for the Benjamin–Bona–Mahony–Burgers equation	1996	Pavel I. Naumkin
+ PDF Chat	Асимптотика при $t\to \infty$ решений обобщенного уравнения Кортевега - де Фриза	1996	Pavel I. Naumkin Pavel I. Naumkin Илья Андреевич Шишмарев I. A. Shishmarev
+	ASYMPTOTICS, AS $ t\to\infty$, OF THE SOLUTION OF A NONLINEAR EQUATION WITH WEAK DISSIPATION AND DISPERSION	1994	Pavel I. Naumkin I. A. Shishmarev
+	LARGE-TIME ASYMPTOTICS OF SOLUTIONS OF THE NONLINEAR SCHRÖDINGER EQUATION IN 2+1 DIMENSIONS	1994	Pavel I. Naumkin
+	Asymptotics of solutions of the Whitham equation for large times	1994	Pavel I. Naumkin Илья Андреевич Шишмарев
+	Nonlinear Nonlocal Equations in the Theory of Waves	1994	Pavel I. Naumkin Илья Андреевич Шишмарев
+	Asymptotic Behavior of Solutions to Nonlinear Equations with Dissipation for Large <i>x</i> and <i>t</i>	1992	Pavel I. Naumkin
+	ASYMPTOTICS FOR LARGE TIME OF SOLUTIONS OF A SYSTEM OF EQUATIONS FOR SURFACE WAVES	1992	Pavel I. Naumkin I. A. Shishmarev
+	THE ASYMPTOTICS AS $ t\to\infty$ OF SOLUTIONS OF A NONLINEAR NONLOCAL SCHRÖDINGER EQUATION	1992	Pavel I. Naumkin I. A. Shishmarev
+	Asymptotic behavior as t → ∞ of solutions of certain nonlinear equations	1991	Pavel I. Naumkin I. A. Shishmarev B. W. Fatyga
+	ON A SYSTEM OF EQUATIONS DESCRIBING SURFACE WAVES	1991	Pavel I. Naumkin I. A. Shishmarev
+	The step-decay problem for the Korteweg-de Vries-Burgers equation	1991	Pavel I. Naumkin I. A. Shishmarev
+	Asymptotic limit of the solutions of a set of surface wave equations for long time scales	1990	Pavel I. Naumkin I. A. Shishmarev
+	Nonlinear nonlocal equations in wave theory. I - The Whitham equation	1990	Pavel I. Naumkin Илья Андреевич Шишмарев
+	A PERIODIC PROBLEM FOR WHITHAM'S EQUATION	1990	Pavel I. Naumkin I. A. Shishmarev
+	Existence and decay of waves described by Whitham's equation	1986	Pavel I. Naumkin I. A. Shishmarev

Common Coauthors

Coauthor	Papers Together
Nakao Hayashi	83
Nakao Hayashi	71
Elena I. Kaikina	51
I. A. Shishmarev	29
Илья Андреевич Шишмарев	13
Isahi Sánchez-Suárez	10
Chunhua Li	7
Jesus A. Mendez-Navarro	6
Beatriz Juárez-Campos	5
Takayoshi Ogawa	5
Hidetake Uchida	4
Naoko Ito	4
Rafael Carreño‐Bolaños	4
Tomoyuki Niizato	3
Satoshi Tonegawa	3
Keiichi Kato	3
Fernando Bernal-Vílchis	3
Seishirou Kobayashi	2
Jhon Pérez	2
Yasuko Yamazaki	2
Jean–Claude Saut	2
Akihiro Shimomura	2
Yuichiro Kawahara	2
Hector F. Ruiz-Paredes	2
Rosa E. Cardiel	2
Tohru Ozawa	2
Takayoshi Ogawa	1
Changxing Miao	1
Yiquan Lin	1
仲夫林	1
Joel A. Rodriguez-Ceballos	1
Gaku Hoshino	1
José de Jesús Villela‐Aguilar	1
Zihua Guo	1
Cristian Jesus Rojas-Milla	1
Ratno Bagus Edy Wibowo	1
Anne de Bouard	1
Tonatiuh Matos	1
Masayo Tominaga	1
Kazuki Aoki	1
Joel Arturo Rodríguez Ceballos	1
Rosa E. Cardiel-Cervantes	1
Naumkin Pavel I.	1
Patrick Nicolas Pipolo	1
Huimei Wang	1
卓克小川	1
Tetsu Mizumachi	1
Hector Francisco Ruiz Paredes	1
Hideaki Sunagawa	1
圭一加藤	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	The initial value problem for the cubic nonlinear Klein–Gordon equation	2007	Nakao Hayashi Pavel I. Naumkin	45
+ PDF Chat	Long range scattering for nonlinear Schrödinger equations in one space dimension	1991	Tohru Ozawa	44
+	Asymptotics for large time of solutions to the nonlinear Schrödinger and Hartree equations	1998	Nakao Hayashi Pavel I. Naumkin	35
+	Nonlinear Nonlocal Equations in the Theory of Waves	1994	Pavel I. Naumkin Илья Андреевич Шишмарев	35
+	Normal forms and quadratic nonlinear Klein‐Gordon equations	1985	Jalal Shatah	34
+	Semilinear Schrödinger Equations	2003	Thierry Cazenave	32
+	Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle	1993	Carlos E. Kenig Gustavo Ponce Luis Vega	32
+	On compactness of commutators of multiplications and convolutions, and boundedness of pseudodifferential operators	1975	H. O. Cordes	29
+	A Class of Bounded Pseudo-Differential Operators	1972	Alberto P. Calderón Rémi Vaillancourt	29
+	Large-time behaviour of solutions to the dissipative nonlinear Schrödinger equation	2000	Nakao Hayashi Elena I. Kaikina Pavel I. Naumkin	27
+	Nonlinear scattering theory at low energy	1981	Walter A. Strauss	26
+	Scattering theory in the weighted $L^2 (\mathbb {R}^n)$ spaces for some Schrödinger equations	1988	Nakao Hayashi Tohru Ozawa	26
+	Large time behavior of solutions of a dissipative semilnear heat equation	1995	Miguel Escobedo Otared Kavian Hiroshi Matano	26
+	Large time behaviour of the solutions of a semilinear parabolic equation in RN	1984	Abdelilah Gmira Лаурент Верон	24
+	Singular Integrals and Differentiability Properties of Functions.	1971	Elias M. Stein	23
+	Global, small amplitude solutions to nonlinear evolution equations	1983	Sergiù Klainerman Gustavo Ponce	23
+	Modified wave operators for the derivative nonlinear Schr�dinger equation	1994	Nakao Hayashi Tohru Ozawa	21
+	Global existence of small solutions to quadratic nonlinear schrödinger equations	1993	Nakao Hayashi	20
+	On the inhomogeneous fourth-order nonlinear Schrödinger equation	2015	Nakao Hayashi Pavel I. Naumkin	19
+	ON ASYMPTOTIC “EIGENFUNCTIONS” OF THE CAUCHY PROBLEM FOR A NONLINEAR PARABOLIC EQUATION	1986	В. А. Галактионов S. P. Kurdyumov A. A. Samarskiĭ	19
+ PDF Chat	Partial Differential Equations	1988	Shiing-Shen Chern	19
+ PDF Chat	Large time asymptotics of solutions to the generalized Benjamin-Ono equation	1999	Nakao Hayashi Pavel I. Naumkin	19
+	Long range scattering for non-linear Schrödinger and Hartree equations in space dimensionn≥2	1993	J. Ginibre Tohru Ozawa	18
+ PDF Chat	Remarks on the large time behaviour of a nonlinear diffusion equation	1987	Otared Kavian	18
+	GENERALIZED SOLUTIONS OF THE CAUCHY PROBLEM FOR THE KORTEWEG-DE VRIES EQUATION	1984	S. N. Kruzhkov Andrei V. Faminskii	17
+ PDF Chat	Factorization technique for the modified Korteweg-de Vries equation	2016	Nakao Hayashi Pavel I. Naumkin	17
+	Long-time behavior of solutions to nonlinear evolution equations	1982	Sergiù Klainerman	17
+	Nonexistence of asymptotically free solutions for a nonlinear Schrödinger equation	1984	Jacqueline E. Barab	17
+	Stabilization of soliton instabilities by higher-order dispersion: Fourth-order nonlinear Schrödinger-type equations	1996	V. I. Karpman	17
+	Sharp asymptotic behavior of solutions for cubic nonlinear Schrödinger equations with a potential	2016	Ivan Naumkin	17
+	Global existence of small solutions to nonlinear evolution equations	1982	Jalal Shatah	17
+ PDF Chat	Gevrey regularizing effect for the (generalized) Korteweg-de Vries equation and nonlinear Schrödinger equations	1995	Anne de Bouard Nakao Hayashi Keiichi Kato	16
+ PDF Chat	Gain of regularity for equations of KdV type	1992	Walter Craig Thomas Kappeler Walter A. Strauss	16
+	Global existence of small amplitude solutions to nonlinear klein‐gordon equations in four space‐time dimensions	1985	Sergiù Klainerman	16
+	Decay of solutions of some nonlinear wave equations	1989	C. J. Amick Jerry L. Bona María E. Schonbek	15
+	Dispersive Blowup of Solutions of Generalized Korteweg-de Vries Equations	1993	Jerry L. Bona Jean‐Claude Saut	15
+ PDF Chat	On the (generalized) Korteweg-de Vries equation	1989	Carlos E. Kenig Gustavo Ponce Luis Vega	15
+ PDF Chat	Local smoothing properties of dispersive equations	1988	Peter Constantin Jean‐Claude Saut	15
+	Analyticity of Solutions of the Korteweg–De Vries Equation	1991	Nakao Hayashi	14
+	Global existence and asymptotic behavior of solutions for the Klein-Gordon equations with quadratic nonlinearity in two space dimensions	1996	Tohru Ozawa Kimitoshi Tsutaya Yoshio Tsutsumi	14
+	L^p-L^q estimates for the Klein-Gordon equation	1980	Bernard Marshall	14
+	The initial value problem for the derivative nonlinear Schrödinger equation in the energy space	1993	Nakao Hayashi	13
+ PDF Chat	On the growing up problem for semilinear heat equations	1977	Kusuo Kobayashi Tunekiti Sirao Hiroshi Tanaka	13
+	Global existence and time decay of small solutions to the landau-ginzburg type equations	2003	Nakao Hayashi Elena I. Kaikina Pavel I. Naumkin	12
+	Global existence of solutions for nonlinear schrödinger equations in one space dimension	1994	Soichiro Katayama Yoshio Tsutsumi	12
+	On global small amplitude solutions to systems of cubic nonlinear Klein–Gordon equations with different mass terms in one space dimension	2003	Hideaki Sunagawa	12
+	Asymptotics for the third‐order nonlinear Schrödinger equation in the critical case	2016	Nakao Hayashi Elena I. Kaikina	11
+ PDF Chat	On nonexistence of global solutions of some semilinear parabolic differential equations	1973	Kantaro Hayakawa	11
+	Existence of solutions for Schr�dinger evolution equations	1987	Kenji Yajima	11
+ PDF Chat	The $L\sp 2$-boundedness of pseudodifferential operators	1987	Ing-Lung Hwang	11