Satoshi Masaki

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All published works

Action	Title	Year	Authors
+ PDF Chat	Non-polynomial conserved quantities for ODE systems and its application to the long-time behavior of solutions to cubic NLS systems	2025	Satoshi Masaki Jun‐ichi Segata Kota Uriya
+ PDF Chat	Global existence and large-time behavior of solutions to cubic nonlinear Schr\"odinger systems without coercive conserved quantity	2024	Satoshi Masaki
+ PDF Chat	Global well-posedness and scattering in weighted space for nonlinear Schr\"{o}dinger equations below the Strauss exponent without gauge-invariance	2024	Masaki Kawamoto Satoshi Masaki Hayato Miyazaki
+ PDF Chat	Scattering problem for the generalized Korteweg-de Vries equation	2024	Satoshi Masaki Jun-ichi Segata
+ PDF Chat	Scattering for the focusing, $ L^2 $-supercritical fourth-order NLS in one dimension	2024	Koichi Komada Satoshi Masaki
+	Scattering of solutions with group invariance for the fourth-order nonlinear Schrödinger equation	2024	Koichi Komada Satoshi Masaki
+	Partial classification of the large-time behavior of solutions to cubic nonlinear Schrödinger systems	2024	Satoshi Masaki
+	Asymptotic Behavior in Time of Solution to System of Cubic Nonlinear Schrödinger Equations in One Space Dimension	2024	Satoshi Masaki Jun‐ichi Segata Kota Uriya
+ PDF Chat	Global dynamics below excited solitons for the non-radial NLS with potential	2024	Satoshi Masaki Jason Murphy Jun‐ichi Segata
+ PDF Chat	Scattering for the Mass-Critical Nonlinear Klein–Gordon Equations in Three and Higher Dimensions	2023	Xing Cheng Zihua Guo Satoshi Masaki
+ PDF Chat	Polynomial deceleration for a system of cubic nonlinear Schrödinger equations in one space dimension	2023	Naoyasu Kita Satoshi Masaki Jun‐ichi Segata Kota Uriya
+ PDF Chat	Asymptotic stability of solitary waves for the <inline-formula><tex-math id="M1">$ 1d $</tex-math></inline-formula> NLS with an attractive delta potential	2023	Satoshi Masaki Jason Murphy Jun‐ichi Segata
+	Scattering below ground states for a class of systems of nonlinear Schrodinger equations	2023	Satoshi Masaki Ryusei Tsukuda
+	Scattering for the focusing, $L^2$-supercritical fourth-order NLS in one dimension	2023	Koichi Komada Satoshi Masaki
+	Classification of a class of systems of cubic ordinary differential equations	2022	Satoshi Masaki
+ PDF Chat	Global Behavior of Solutions to Generalized Gross-Pitaevskii Equation	2022	Satoshi Masaki Hayato Miyazaki
+ PDF Chat	On asymptotic behavior of solutions to cubic nonlinear Klein-Gordon systems in one space dimension	2022	Satoshi Masaki Jun‐ichi Segata Kota Uriya
+	Global dynamics below excited solitons for the non-radial NLS with potential	2022	Satoshi Masaki Jason Murphy Jun‐ichi Segata
+	On scalar-type standing-wave solutions to systems of nonlinear Schrödinger equations	2022	Satoshi Masaki
+	Polynomial deceleration for a system of cubic nonlinear Schrödinger equations in one space dimension	2022	Naoyasu Kita Satoshi Masaki Jun‐ichi Segata Kota Uriya
+ PDF Chat	Asymptotic behavior in time of solution to system of cubic nonlinear Schr"odinger equations in one space dimension	2021	Satoshi Masaki Jun‐ichi Segata Kota Uriya
+	Asymptotic behavior in time of solution to system of cubic nonlinear Schr"odinger equations in one space dimension	2021	Satoshi Masaki Jun‐ichi Segata Kota Uriya
+	On asymptotic behavior of solutions to cubic nonlinear Klein-Gordon systems in one space dimension	2021	Satoshi Masaki Jun‐ichi Segata Kota Uriya
+ PDF Chat	A sharp scattering threshold level for mass-subcritical nonlinear Schrödinger system	2020	Masaru Hamano Satoshi Masaki
+ PDF Chat	Stability of small solitary waves for the one-dimensional NLS with an attractive delta potential	2020	Satoshi Masaki Jason Murphy Jun-ichi Segata
+ PDF Chat	Optimal decay rate of solutions for nonlinear Klein-Gordon systems of critical type	2020	Satoshi Masaki Koki Sugiyama
+	Refinement of Strichartz estimates for Airy equation and application (Regularity, singularity and long time behavior for partial differential equations with conservation law)	2020	Satoshi Masaki Jun‐ichi Segata
+	Long range scattering for the complex-valued Klein-Gordon equation with quadratic nonlinearity in two dimensions	2020	Satoshi Masaki Jun-ichi Segata Kota Uriya
+	Scattering for the mass-critical nonlinear Klein-Gordon equations in three and higher dimensions	2020	Xing Cheng Zihua Guo Satoshi Masaki
+	Optimal decay rate of solutions for nonlinear Klein-Gordon systems of critical type	2020	Satoshi Masaki Koki Sugiyama
+	Asymptotic stability of solitary waves for the $1d$ NLS with an attractive delta potential	2020	Satoshi Masaki Jason Murphy Jun‐ichi Segata
+	On the scattering problem of mass-subcritical Hartree equation	2019	Satoshi Masaki
+ PDF Chat	A survey on nonlinear Schrödinger equation with growing nonlocal nonlinearity	2019	Masaya Maeda Satoshi Masaki
+	Semi-classical analysis of the Hartree equation around and before the caustic	2019	Satoshi Masaki
+ PDF Chat	Nonexistence of scattering and modified scattering states for some nonlinear Schrödinger equation with critical homogeneous nonlinearity	2019	Satoshi Masaki Hayato Miyazaki
+	A sharp scattering threshold level for mass-subcritical nonlinear Schrödinger system	2019	Masaru Hamano Satoshi Masaki
+ PDF Chat	The radial mass-subcritical NLS in negative order Sobolev spaces	2018	Rowan Killip Satoshi Masaki Jason Murphy Monica Vişan
+ PDF Chat	Long-range scattering for nonlinear Schrödinger equations with critical homogeneous nonlinearity in three space dimensions	2018	Satoshi Masaki Hayato Miyazaki Kota Uriya
+ PDF Chat	Modified scattering for the quadratic nonlinear Klein–Gordon equation in two dimensions	2018	Satoshi Masaki Jun-ichi Segata
+	The radial mass-subcritical NLS in negative order Sobolev spaces	2018	Rowan Killip Satoshi Masaki Jason Murphy Monica Vişan
+ PDF Chat	Modified Scattering for the One-Dimensional Cubic NLS with a Repulsive Delta Potential	2018	Satoshi Masaki Jason Murphy Jun‐ichi Segata
+ PDF Chat	Modified scattering for the Klein-Gordon equation with the critical nonlinearity in three dimensions	2018	Satoshi Masaki Jun‐ichi Segata
+ PDF Chat	Long Range Scattering for Nonlinear Schrödinger Equations with Critical Homogeneous Nonlinearity	2018	Satoshi Masaki Hayato Miyazaki
+	Refinement of Strichartz Estimates for Airy Equation in Nondiagonal Case and its Application	2018	Satoshi Masaki Jun-ichi Segata
+	Long range scattering for the complex-valued Klein-Gordon equation with quadratic nonlinearity in two dimensions	2018	Satoshi Masaki Jun‐ichi Segata Kota Uriya
+	The radial mass-subcritical NLS in negative order Sobolev spaces	2018	Rowan Killip Satoshi Masaki Jason Murphy Monica Vişan
+ PDF Chat	Large data mass-subcritical NLS: critical weighted bounds imply scattering	2017	Rowan Killip Satoshi Masaki Jason Murphy Monica Vişan
+ PDF Chat	Existence of a minimal non-scattering solution to the mass-subcritical generalized Korteweg–de Vries equation	2017	Satoshi Masaki Jun-ichi Segata
+ PDF Chat	On minimal nonscattering solution for focusing mass-subcritical nonlinear Schrödinger equation	2017	Satoshi Masaki
+	Refinement of Strichartz estimate for Airy equation in non-diagonal case and its application	2017	Satoshi Masaki Jun‐ichi Segata
+	Modified scattering for the $1d$ cubic NLS with a repulsive delta potential	2017	Satoshi Masaki Jason Murphy Jun‐ichi Segata
+	Nonexistence of scattering and modified scattering states for some nonlinear Schrödinger equation with critical homogeneous nonlinearity	2017	Satoshi Masaki Hayato Miyazaki
+	Modified scattering for the Klein-Gordon equation with the critical nonlinearity in three dimensions	2017	Satoshi Masaki Jun‐ichi Segata
+ PDF Chat	On the well-posedness of the generalized Korteweg–de Vries equation in scale-critical Lr-space	2016	Satoshi Masaki Jun-ichi Segata
+	Large data mass-subcritical NLS: critical weighted bounds imply scattering	2016	Rowan Killip Satoshi Masaki Jason Murphy Monica Vişan
+	Existence of a minimal non-scattering solution to the mass-subcritical generalized Korteweg-de Vries equation	2016	Satoshi Masaki Jun‐ichi Segata
+	Two minimization problems on non-scattering solutions to mass-subcritical nonlinear Schrödinger equation	2016	Satoshi Masaki
+	Modified scattering for the quadratic nonlinear Klein-Gordon equation in two dimensions	2016	Satoshi Masaki Jun‐ichi Segata
+	Long range scattering for nonlinear Schrödinger equations with critical homogeneous nonlinearity	2016	Satoshi Masaki Hayato Miyazaki
+	Large data mass-subcritical NLS: critical weighted bounds imply scattering	2016	Rowan Killip Satoshi Masaki Jason Murphy Monica Vişan
+	Global behavior of solutions to generalized Gross-Pitaevskii equation	2016	Satoshi Masaki Hayato Miyazaki
+	Existence and uniqueness of two dimensional Euler-Poisson system and WKB approximation to the nonlinear Schrödinger-Poisson system	2015	Satoshi Masaki Takayoshi Ogawa
+	A sharp scattering condition for focusing mass-subcritical nonlinear Schrödinger equation	2015	Satoshi Masaki
+ PDF Chat	An example of stable excited state on nonlinear Schrödinger equation with nonlocal nonlinearity	2013	Masaya Maeda Satoshi Masaki
+	On minimal non-scattering solution for focusing mass-subcritical nonlinear Schrödinger equation	2013	Satoshi Masaki
+	A sharp scattering condition for focusing mass-subcritical nonlinear Schrödinger equation	2013	Satoshi Masaki
+ PDF Chat	Energy Solution to a Schrödinger–Poisson System in the Two-Dimensional Whole Space	2011	Satoshi Masaki
+	Large time WKB approximation for multi-dimensional semiclassical Schrödinger–Poisson system	2011	Satoshi Masaki
+	SEMICLASSICAL LIMIT OF SCHRODINGER-POISSON SYSTEM AND CLASSICAL LIMIT OF QUANTUM EULER-POISSON EQUATIONS IN 2D (Mathematical Analysis in Fluid and Gas Dynamics)	2011	Satoshi Masaki
+	Analysis of Hartree equation with an interaction growing at the spatial infinity	2011	Satoshi Masaki
+	An example of stable excited state on nonlinear Schrödinger equation with nonlocal nonlinearity	2011	Masaya Maeda Satoshi Masaki
+ PDF Chat	Local Existence and WKB Approximation of Solutions to Schrödinger–Poisson System in the Two-Dimensional Whole Space	2010	Satoshi Masaki
+	Energy solution to Schrödinger-Poisson system in the two-dimensional whole space	2010	Satoshi Masaki
+	REMARKS ON GLOBAL EXISTENCE OF CLASSICAL SOLUTION TO MULTI-DIMENSIONAL COMPRESSIBLE EULER-POISSON EQUATIONS WITH GEOMETRICAL SYMMETRY (Harmonic Analysis and Nonlinear Partial Differential Equations)	2009	Satoshi Masaki
+	Remarks on global existence of classical solution to multi-dimensional compressible Euler-Poisson equations with geometrical symmetry	2009	Satoshi Masaki
+ PDF Chat	Cascade of Phase Shifts and Creation of Nonlinear Focal Points for Supercritical Semiclassical Hartree Equation	2009	Satoshi Masaki
+	Local existence and WKB approximation of solutions to Schrödinger-Poisson system in the two-dimensional whole space	2009	Satoshi Masaki
+ PDF Chat	ASYMPTOTIC EXPANSION OF SOLUTIONS TO THE NONLINEAR SCHRÖDINGER EQUATION WITH POWER NONLINEARITY	2009	Satoshi Masaki
+	Large time WKB approximation for multi-dimensional semiclassical Schrödinger-Poisson system	2009	Satoshi Masaki
+	Cascade of Phase Shifts and Creation of Nonlinear Focal Points for Supercritical Semiclassical Hartree Equation	2008	Satoshi Masaki
+	Semiclassical analysis for Hartree equation	2008	Rémi Carles Satoshi Masaki
+	Semiclassical Analysis for Hartree equation	2007	Rémi Carles Satoshi Masaki
+ PDF Chat	Semi-Classical Analysis for Hartree Equations in Some Supercritical Cases	2007	Satoshi Masaki

Common Coauthors

Coauthor	Papers Together
Jun‐ichi Segata	21
Jason Murphy	13
Kota Uriya	11
Hayato Miyazaki	8
Jun-ichi Segata	7
Monica Vişan	6
Rowan Killip	6
Masaya Maeda	3
Koichi Komada	3
Rémi Carles	2
Naoyasu Kita	2
Koki Sugiyama	2
Xing Cheng	2
Zihua Guo	2
Masaru Hamano	2
Masaki Kawamoto	1
Takayoshi Ogawa	1
Ryusei Tsukuda	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Global well-posedness, scattering and blow-up for the energy-critical, focusing, non-linear Schrödinger equation in the radial case	2006	Carlos E. Kenig Frank Merle	13
+	Global well-posedness and scattering for the mass critical nonlinear Schrödinger equation with mass below the mass of the ground state	2015	Benjamin Dodson	10
+ PDF Chat	On the well-posedness of the generalized Korteweg–de Vries equation in scale-critical Lr-space	2016	Satoshi Masaki Jun-ichi Segata	10
+	Dispersion of small amplitude solutions of the generalized Korteweg-de Vries equation	1991	Francis Michael Christ Michael I. Weinstein	10
+	Well‐posedness and scattering results for the generalized korteweg‐de vries equation via the contraction principle	1993	Carlos E. Kenig Gustavo Ponce Luis Vega	9
+	The cubic nonlinear Schrödinger equation in two dimensions with radial data	2009	Rowan Killip Terence Tao Monica Vişan	9
+ PDF Chat	Endpoint Strichartz estimates	1998	M. Keel Terence Tao	8
+	Wigner Measure and the Semiclassical Limit of Schrödinger--Poisson Equations	2002	Ping Zhang	8
+ PDF Chat	The defocusing energy-critical nonlinear Schrödinger equation in higher dimensions	2007	Monica Vişan	8
+ PDF Chat	The mass-critical nonlinear Schrödinger equation with radial data in dimensions three and higher	2008	Rowan Killip Monica Vişan Xiaoyi Zhang	8
+	High frequency approximation of solutions to critical nonlinear wave equations	1999	Hajer Bahouri Patrick Gérard	7
+ PDF Chat	The asymptotic behavior of nonlinear Schrödinger equations	1984	Yoshio Tsutsumi Kenji Yajima	7
+	On minimal non-scattering solution for focusing mass-subcritical nonlinear Schrödinger equation	2013	Satoshi Masaki	7
+	Two minimization problems on non-scattering solutions to mass-subcritical nonlinear Schrödinger equation	2016	Satoshi Masaki	7
+ PDF Chat	Large time behavior of solutions to the Klein-Gordon equation with nonlinear dissipative terms	2006	Hideaki Sunagawa	7
+	Semilinear Schrödinger Equations	2003	Thierry Cazenave	7
+ PDF Chat	A Sharp Condition for Scattering of the Radial 3D Cubic Nonlinear Schrödinger Equation	2008	Justin Holmer Svetlana Roudenko	7
+	WKB analysis for the Gross–Pitaevskii equation with non-trivial boundary conditions at infinity	2008	Thomas Alazard Rémi Carles	7
+ PDF Chat	INHOMOGENEOUS STRICHARTZ ESTIMATES	2005	Damiano Foschi	7
+ PDF Chat	Nonlinear Schroedinger Equations with Radially Symmetric Data of Critical Regularity	2008	Kunio Hidano	7
+	A sharp scattering condition for focusing mass-subcritical nonlinear Schrödinger equation	2015	Satoshi Masaki	7
+ PDF Chat	Semiclassical Limit of the Nonlinear Schrödinger-Poisson Equation with Subcritical Initial Data	2002	Hailiang Liu Eitan Tadmor	7
+	Nonlinear scattering theory at low energy	1981	Walter A. Strauss	7
+	Asymptotics for large time of solutions to the nonlinear Schrödinger and Hartree equations	1998	Nakao Hayashi Pavel I. Naumkin	6
+ PDF Chat	A note on the null condition for quadratic nonlinear Klein‐Gordon systems in two space dimensions	2012	Soichiro Katayama Tohru Ozawa Hideaki Sunagawa	6
+	None	2004	Axel Grünrock	6
+ PDF Chat	On the Asymptotic Behavior of Solutions of Semi-linear Wave Equations	1976	Akitaka Matsumura	6
+	On the asymptotic behavior of nonlinear wave equations	1973	Robert T. Glassey	6
+	Remarks on scattering for nonlinear Schrödinger equations	2002	Kenji Nakanishi Tohru Ozawa	6
+	Nonexistence of asymptotically free solutions for a nonlinear Schrödinger equation	1984	Jacqueline E. Barab	6
+	On the blowing up of solutions to the Cauchy problem for nonlinear Schrödinger equations	1977	Robert T. Glassey	6
+	Normal forms and quadratic nonlinear Klein‐Gordon equations	1985	Jalal Shatah	6
+ PDF Chat	Long range scattering for nonlinear Schrödinger equations in one space dimension	1991	Tohru Ozawa	6
+	Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations	1977	Robert S. Strichartz	6
+ PDF Chat	Existence of a minimal non-scattering solution to the mass-subcritical generalized Korteweg–de Vries equation	2017	Satoshi Masaki Jun-ichi Segata	6
+	Semiclassical analysis for Hartree equation	2008	Rémi Carles Satoshi Masaki	6
+ PDF Chat	A restriction theorem for the Fourier transform	1975	Peter A. Tomas	5
+ PDF Chat	Modified scattering for the Klein-Gordon equation with the critical nonlinearity in three dimensions	2018	Satoshi Masaki Jun‐ichi Segata	5
+ PDF Chat	Rapidly decaying solutions of the nonlinear Schrödinger equation	1992	Thierry Cazenave Fred B. Weissler	5
+	Long range scattering for nonlinear Schrödinger equations with critical homogeneous nonlinearity	2016	Satoshi Masaki Hayato Miyazaki	5
+	On the existence of the wave operators for a class of nonlinear Schrödinger equations	1994	J. Ginibre Tohru Ozawa G. Velo	5
+	Existence of a minimal non-scattering solution to the mass-subcritical generalized Korteweg-de Vries equation	2016	Satoshi Masaki Jun‐ichi Segata	5
+ PDF Chat	On the role of quadratic oscillations in nonlinear Schrödinger equations II. The $L^2$-critical case	2006	Rémi Carles Sahbi Keraani	5
+ PDF Chat	Global small amplitude solutions for two-dimensional nonlinear Klein–Gordon systems in the presence of mass resonance	2011	Yuichiro Kawahara Hideaki Sunagawa	5
+	Global existence of small solutions for quadratic quasilinear Klein–Gordon systems in two space dimensions	2004	Jean-Marc Delort Daoyuan Fang Ruying Xue	5
+	Nonlinear Scattering Theory	1974	Walter A. Strauss	5
+	Global existence of small amplitude solutions to nonlinear klein‐gordon equations in four space‐time dimensions	1985	Sergiù Klainerman	5
+	Semiclassical limit and well-posedness of nonlinear Schrodinger-Poisson systems	2003	Hai-Liang Li Chi-Kun Lin	5
+ PDF Chat	Semi-classical limit of Schrödinger–Poisson equations in space dimension <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi>n</mml:mi><mml:mo>⩾</mml:mo><mml:mn>3</mml:mn></mml:math>	2006	Thomas Alazard Rémi Carles	5
+	Global well-posedness and scattering for the defocusing mass-critical nonlinear Schrödinger equation for radial data in high dimensions	2007	Terence Tao Monica Vişan Xiaoyi Zhang	5