Asymptotic behavior for solutions to the dissipative nonlinear Schrödinger equations with the fractional Sobolev space

Gaku Hoshino

Type: Article

Publication Date: 2019-11-01

Citations: 10

DOI: https://doi.org/10.1063/1.5125161

View Publication

Locations

Journal of Mathematical Physics - View

Similar Works

Action	Title	Year	Authors
+	Dissipative character of asymptotics for the nonlinear fractional Schrödinger equation	2019	Pavel I. Naumkin
+	On the Cauchy problem for the nonlinear Schrodinger equations including fractional dissipation with variable coefficient	2018	Mohamad Darwich
+	Large-time behaviour of solutions to the dissipative nonlinear Schrödinger equation	2000	Nakao Hayashi Elena I. Kaikina Pavel I. Naumkin
+	The Cauchy problem for the fractional nonlinear Schrödinger equation in Sobolev space	2024	HakBom Mun JinMyong An JinMyong Kim
+ PDF Chat	Dissipative nonlinear schrödinger equations for large data in one space dimension	2019	Gaku Hoshino
+ PDF Chat	Global existence for the nonlinear fractional Schrödinger equation with fractional dissipation	2018	Mohamad Darwich
+	Global existence for the nonlinear fractional Schrödinger equation with fractional dissipation	2017	Mohamad Darwich
+ PDF Chat	Space-time analytic smoothing effect for the nonlinear Schrödinger equations with nonlinearity of exponential type	2023	Gaku Hoshino
+ PDF Chat	Asymptotic behavior of solutions to a dissipative nonlinear Schrödinger equation with time-dependent harmonic potentials	2022	Masaki Kawamoto Takuya Sato
+	Scattering for solutions of a dissipative nonlinear Schrödinger equation	2018	Gaku Hoshino
+	Asymptotic behavior of solutions to a dissipative nonlinear Schrödinger equation with time dependent harmonic potentials	2022	Masaki Kawamoto Takuya Sato
+	The attractor of the dissipative coupled fractional Schrödinger equations	2013	Ming Cheng
+	Asymptotic behavior of solutions to Schrödinger equations with a subcritical dissipative nonlinearity	2007	Naoyasu Kita Akihiro Shimomura
+	Global existence for the nonlinear fractional Schr\"odinger equation with fractional dissipation	2017	Mohamad Darwich
+ PDF Chat	Some remarks on the nonlinear Schrödinger equation with fractional dissipation	2016	Mohamad Darwich Luc Molinet
+	Asymptotic behavior for a Schrödinger equation with nonlinear subcritical dissipation	2020	Thierry Cazenave Zheng Han
+	Asymptotic Behavior of Solutions for Schrödinger Equations with Dissipative Nonlinearities	2006	Akihiro Shimomura
+	The well-posedness for fractional nonlinear Schrödinger equations	2018	Li Peng Yong Zhou Bashir Ahmad
+	Some remarks on the nonlinear Schr\"odinger equation with fractional dissipation	2015	Mohamad Darwich Luc Molinet
+	Some remarks on the nonlinear Schrödinger equation with fractional dissipation	2015	Mohamad Darwich Luc Molinet

Works That Cite This (10)

Action	Title	Year	Authors
+ PDF Chat	$$\mathbf{L^2}$$-decay rate for the critical nonlinear Schrödinger equation with a small smooth data	2020	Takayoshi Ogawa Takuya Sato
+ PDF Chat	On the derivative nonlinear Schrödinger equation with weakly dissipative structure	2020	Chunhua Li Yoshinori Nishii Yuji Sagawa Hideaki Sunagawa
+ PDF Chat	Asymptotic behavior of solutions to a dissipative nonlinear Schrödinger equation with time-dependent harmonic potentials	2022	Masaki Kawamoto Takuya Sato
+	Large time behavior of solutions to the critical dissipative nonlinear Schrödinger equation with large data	2022	Takuya Sato
+	Lower bound estimate for the dissipative nonlinear Schrödinger equation	2021	Takuya Sato
+	On the Decay Estimate for Small Solutions to Nonlinear Klein-Gordon Equations with Dissipative Structure	2024	Yoshinori Nishii
+ PDF Chat	On a Fractional in Time Nonlinear Schrödinger Equation with Dispersion Parameter and Absorption Coefficient	2020	Mohamed Jleli Bessem Samet Calogero Vetro
+	$$L^2$$-decay estimate for the dissipative nonlinear Schrödinger equation in the Gevrey class	2020	Takuya Sato
+	Optimal $$L^{\infty }$$-Decay Rate of Solutions to a Dissipative Nonlinear Schrödinger Equation System	2025	Naoyasu Kita Yoshihisa Nakamura Yuji Sagawa
+	On the decay estimate for small solutions to nonlinear Klein-Gordon equations with dissipative structure	2025	Yoshinori Nishii

Works Cited by This (12)

Action	Title	Year	Authors
+	Nonlinear Scattering Theory	1974	Walter A. Strauss
+	Asymptotics for large time of solutions to the nonlinear Schrödinger and Hartree equations	1998	Nakao Hayashi Pavel I. Naumkin
+ PDF Chat	Large time behavior of solutions to Schrödinger equations with a dissipative nonlinearity for arbitrarily large initial data	2009	Naoyasu Kita Akihiro Shimomura
+	On a class of nonlinear Schrödinger equations. I. The Cauchy problem, general case	1979	J. Ginibre G. Velo
+	Nonexistence of asymptotically free solutions for a nonlinear Schrödinger equation	1984	Jacqueline E. Barab
+	Analyticity of Submarkovian Semigroups	1995	Vitali Liskevich M. A. Perel’muter
+ PDF Chat	Long range scattering for nonlinear Schrödinger equations in one space dimension	1991	Tohru Ozawa
+ PDF Chat	Time Decay for Nonlinear Dissipative Schrödinger Equations in Optical Fields	2016	Nakao Hayashi Chunhua Li Pavel I. Naumkin
+	The initial value problem for nonlinear Schrödinger equations with a dissipative nonlinearity in one space dimension	2016	Jin Guang-zhi Yuanfeng Jin Chunhua Li
+	Global Well-Posedness and Analytic Smoothing Effect for the Dissipative Nonlinear Schrödinger Equations	2018	Gaku Hoshino