Masayuki Hayashi

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All published works

Action	Title	Year	Authors
+	Instability of stationary solutions for double power nonlinear Schrödinger equations in one dimension	2025	Noriyoshi Fukaya Masayuki Hayashi
+	Low regularity solutions to the logarithmic Schrödinger equation	2024	Rémi Carles Masayuki Hayashi Tohru Ozawa
+	The Cauchy Problem for the Logarithmic Schrödinger Equation Revisited	2024	Masayuki Hayashi Tohru Ozawa
+ PDF Chat	Global $H^2$-solutions for the generalized derivative NLS on $\mathbb{T}$	2024	Masayuki Hayashi Tohru Ozawa Nicola Visciglia
+	Instability of stationary solutions for double power nonlinear Schrödinger equations in one dimension	2023	Noriyoshi Fukaya Masayuki Hayashi
+	The Cauchy problem for the logarithmic Schrödinger equation revisited	2023	Masayuki Hayashi Tohru Ozawa
+	Low regularity solutions to the logarithmic Schrodinger equation	2023	Rémi Carles Masayuki Hayashi Tohru Ozawa
+ PDF Chat	Traveling waves for a nonlinear Schrödinger system with quadratic interaction	2022	Noriyoshi Fukaya Masayuki Hayashi Takahisa Inui
+ PDF Chat	Stability of Algebraic Solitons for Nonlinear Schrödinger Equations of Derivative Type: Variational Approach	2022	Masayuki Hayashi
+ PDF Chat	Instability of degenerate solitons for nonlinear Schrödinger equations with derivative	2022	Noriyoshi Fukaya Masayuki Hayashi
+	Traveling waves for a nonlinear Schrödinger system with quadratic interaction	2022	Noriyoshi Fukaya Masayuki Hayashi Takahisa Inui
+ PDF Chat	Sharp thresholds for stability and instability of standing waves in a double power nonlinear Schr\"odinger equation	2021	Masayuki Hayashi
+ PDF Chat	Potential well theory for the derivative nonlinear Schrödinger equation	2021	Masayuki Hayashi
+	Instability of degenerate solitons for nonlinear Schrödinger equations with derivative	2021	Noriyoshi Fukaya Masayuki Hayashi
+	Sharp thresholds for stability and instability of standing waves in a double power nonlinear Schrödinger equation	2021	Masayuki Hayashi
+	Instability of algebraic standing waves for nonlinear Schrödinger equations with double power nonlinearities	2020	Noriyoshi Fukaya Masayuki Hayashi
+ PDF Chat	Long-period limit of exact periodic traveling wave solutions for the derivative nonlinear Schrödinger equation	2019	Masayuki Hayashi
+ PDF Chat	A note on the nonlinear Schrödinger equation in a general domain	2018	Masayuki Hayashi
+ PDF Chat	A sufficient condition for global existence of solutions to a generalized derivative nonlinear Schrödinger equation	2017	Noriyoshi Fukaya Masayuki Hayashi Takahisa Inui
+	Global Well-Posedness on a generalized derivative nonlinear Schr\"odinger equation	2016	Noriyoshi Fukaya Masayuki Hayashi Takahisa Inui
+ PDF Chat	Well-posedness for a generalized derivative nonlinear Schrödinger equation	2016	Masayuki Hayashi Tohru Ozawa
+ PDF Chat	On Landau-Kolmogorov inequalities for dissipative operators	2016	Masayuki Hayashi Tohru Ozawa

Common Coauthors

Coauthor	Papers Together
Noriyoshi Fukaya	9
Tohru Ozawa	7
Takahisa Inui	4
Rémi Carles	2
Nicola Visciglia	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Global well-posedness on the derivative nonlinear Schrödinger equation	2015	Yifei Wu	9
+	Semilinear Schrödinger Equations	2003	Thierry Cazenave	9
+	Nonlinear Schr�dinger equations and sharp interpolation estimates	1983	Michael I. Weinstein	8
+	Nonlinear scalar field equations, I existence of a ground state	1983	Henri Berestycki P. L. Lions	8
+ PDF Chat	Stability of solitary waves for derivative nonlinear Schrödinger equation	2006	Masahito Ohta Mathieu Colin	8
+ PDF Chat	A sufficient condition for global existence of solutions to a generalized derivative nonlinear Schrödinger equation	2017	Noriyoshi Fukaya Masayuki Hayashi Takahisa Inui	7
+	Stability theory of solitary waves in the presence of symmetry, I	1987	Manoussos G. Grillakis Jalal Shatah Walter A. Strauss	6
+	Stability theory of solitary waves in the presence of symmetry, II	1990	Manoussos G. Grillakis Jalal Shatah Walter A. Strauss	6
+ PDF Chat	Well-posedness for a generalized derivative nonlinear Schrödinger equation	2016	Masayuki Hayashi Tohru Ozawa	6
+ PDF Chat	Orbital stability of solitary waves for derivative nonlinear Schrödinger equation	2018	Soonsik Kwon Yifei Wu	6
+	Orbital Stability of Solitary Waves for the Nonlinear Derivative Schrödinger Equation	1995	Bin Guo Yue Wu	6
+	On the lowest eigenvalue of the Laplacian for the intersection of two domains	1983	Élliott H. Lieb	5
+ PDF Chat	On the nonlinear Schrodinger equations of derivative type	1996	Tohru Ozawa	5
+ PDF Chat	Instability of solitary waves for nonlinear Schrödinger equations of derivative type	2014	Masahito Ohta	5
+ PDF Chat	Stability of Solitary Waves for a Generalized Derivative Nonlinear Schrödinger Equation	2013	Xiao Liu Gideon Simpson Catherine Sulem	5
+	Orbital stability of standing waves for some nonlinear Schr�dinger equations	1982	Thierry Cazenave Pierre‐Louis Lions	5
+ PDF Chat	Stable standing waves of nonlinear Klein-Gordon equations	1983	Jalal Shatah	5
+ PDF Chat	A relation between pointwise convergence of functions and convergence of functionals	1983	Haı̈m Brezis Élliott H. Lieb	5
+	Finite Energy Solutions of Nonlinear Schrödinger Equations of Derivative Type	1994	Nakao Hayashi Tohru Ozawa	5
+	Instability of solitary wave solutions for derivative nonlinear Schrödinger equation in endpoint case	2016	Cui Ning Masahito Ohta Yifei Wu	5
+	Orbital stability of solitary waves for derivative nonlinear Schrödinger equation	2016	Soonsik Kwon Yifei Wu	5
+	A Relation Between Pointwise Convergence of Functions and Convergence of Functionals	1983	Haı̈m Brezis Élliott H. Lieb	5
+ PDF Chat	Global well-posedness for the nonlinear Schrödinger equation with derivative in energy space	2013	Yi Wu	5
+	On the derivative nonlinear Schrödinger equation	1992	Nakao Hayashi Tohru Ozawa	4
+ PDF Chat	Stability of Algebraic Solitons for Nonlinear Schrödinger Equations of Derivative Type: Variational Approach	2022	Masayuki Hayashi	4
+ PDF Chat	Global existence for the derivative nonlinear Schrödinger equation with arbitrary spectral singularities	2020	R. M. Jenkins Jiaqi Liu Peter Perry Catherine Sulem	4
+ PDF Chat	A Refined Global Well-Posedness Result for Schrödinger Equations with Derivative	2002	J. Colliander M. Keel G. Staffilani Hideo Takaoka Terence Tao	4
+ PDF Chat	Global Well-Posedness for Schrödinger Equations with Derivative	2001	J. Colliander M. Keel G. Staffilani Hideo Takaoka Terence Tao	4
+	The initial value problem for the derivative nonlinear Schrödinger equation in the energy space	1993	Nakao Hayashi	4
+ PDF Chat	The derivative NLS equation: global existence with solitons	2017	Dmitry E. Pelinovsky Aaron Saalmann Yusuke Shimabukuro	4
+	Existence and uniqueness of solution for a generalized nonlinear derivative Schrödinger equation	2015	Gleison do N. Santos	4
+ PDF Chat	Global Well-Posedness of the Derivative Nonlinear Schroedinger Equations on T	2010	Yin Yin Su Win	4
+	Blow up in finite time and dynamics of blow up solutions for the 𝐿²–critical generalized KdV equation	2002	Yvan Martel Frank Merle	3
+	Stable solutions of the logarithmic Schrödinger equation	1983	Thierry Cazenave	3
+	Evans Function for Lax Operators with Algebraically Decaying Potentials	2005	Martin Klaus Dmitry E. Pelinovsky Vassilis M. Rothos	3
+ PDF Chat	Ill-posedness for the derivative Schrödinger and generalized Benjamin-Ono equations	2001	H. A. Biagioni Felipe Linares	3
+	Instability of algebraic standing waves for nonlinear Schrödinger equations with double power nonlinearities	2020	Noriyoshi Fukaya Masayuki Hayashi	3
+	Instability of solitary wave solutions for the nonlinear Schrödinger equation of derivative type in degenerate case	2019	Cui Ning	3
+ PDF Chat	Universal dynamics for the defocusing logarithmic Schrödinger equation	2018	Rémi Carles Isabelle Gallagher	3
+ PDF Chat	Instability of nonlinear bound states	1985	Jalal Shatah Walter A. Strauss	3
+ PDF Chat	Instability of solitary waves for a generalized derivative nonlinear Schrödinger equation in a borderline case	2017	Noriyoshi Fukaya	3
+	On a class of solutions to the generalized derivative Schrödinger equations II	2019	Felipe Linares Gustavo Ponce Gleison N. Santos	3
+ PDF Chat	Long-period limit of exact periodic traveling wave solutions for the derivative nonlinear Schrödinger equation	2019	Masayuki Hayashi	3
+ PDF Chat	Global well-posedness for the derivative nonlinear Schrödinger equation in $H^{\frac 12} (\mathbb{R} )$	2016	Zihua Guo Yifei Wu	3
+ PDF Chat	Comportement asymptotique des solutions d'équations elliptiques semi-linéaires dans RN	1981	Лаурент Верон	3
+	Équations d'évolution avec non linéarité logarithmique	1980	Thierry Cazenave Alain Haraux	3
+ PDF Chat	Stability and instability of standing waves for one-dimensional nonlinear Schrödinger equations with double power nonlinearity	1995	Masahito Ohta	3
+	Blow-up Solutions for Mixed Nonlinear Schrödinger Equations	2004	Shao Bin Tan	3
+ PDF Chat	Well-posedness for the one-dimensional nonlinear Schrödinger equation with the derivative nonlinearity	1999	Hideo Takaoka	3
+ PDF Chat	Maximizers for Gagliardo–Nirenberg inequalities and related non-local problems	2014	Jacopo Bellazzini Rupert L. Frank Nicola Visciglia	3