On nonlinear Schrödinger equations, II.H S -solutions and unconditional well-posedness

Tosio Kato

Type: Article

Publication Date: 1995-12-01

Citations: 225

DOI: https://doi.org/10.1007/bf02787794

View Publication

Locations

Journal d Analyse Mathématique - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Correction to “On nonlinear Schrödinger equations, II.H s-solutions and unconditional well-posedness”	1996	Tosio Kato
+	On the existence theory for nonlinear Schrödinger and wave equations without Lipschitz-estimates	1983	Ludger Brüll
+	Unconditional well-posedness for semilinear Schrödinger and wave equations in H^s	2003	Giulia Furioli Elide Terraneo Fabrice Planchon
+	On the nonlinear schrödinger equation and its fluid-dynamical form	1983	T. F. Nonnenmacher G. Dukek Gerd Baumann
+	On nonlinear schrödinger equations	2000	Manoussos G. Grillakis
+	On nonlinear Schrödinger equations	1998	Jean Bourgain
+	On the nonlinear Schrodinger equation with nonzero boundary conditions	2015	Emily Fagerstrom
+	On the solution of the nonlinear Schrodinger equation	2003	E. M. E. Zayed Hassan A. Zedan
+	On the well-posedness for the nonlinear radial Schrödinger equation with spatial variable coefficients	2018	Bowen Zheng
+	ON H$_\infty$ WELL POSEDNESS OF THE CAUCHY PROBLEM FOR SHRODINGER TYPE EQUATIONS	1984	Wataru Ichinose
+	Well-Posedness of the Nonlinear Schrödinger Equation	2019	Sara Orumbayeva
+	Well-posedness of higher-order nonlinear Schrödinger equations in Sobolev spaces and applications	2006	Shangbin Cui Cuihua Guo
+	On local well-posedness for $$H^s$$-critical nonlinear Schrödinger equations	2023	Kosuke Tabata Takeshi Wada
+	On a Bilinear Estimate of Schrodinger Waves (Harmonic Analysis and Nonlinear Partial Differential Equations)	2011	Yung-Fu Fang
+	On The Schrödinger Equation.	1989	S. C. Tiwari
+	Nonlinear Schrödinger-Airy Equation in Sobolev Spaces of Low Regularity	2020	Zhanna Sakayeva
+ PDF Chat	On existence and nonexistence results for nonlinear Schrödinger equations	1983	H. Gajewski
+ PDF Chat	On Schrödinger Equations with Concentrated Nonlinearities	1995	G. Jona‐Lasinio Carlo Presilla Johannes Sjöstrand
+	On the IVP for the nonlinear Schrödinger equations	1995	Carlos E. Kenig Gustavo Ponce Luis Vega
+	On a class of nonlinear Schr�dinger equations	1992	Paul H. Rabinowitz

Works That Cite This (223)

Action	Title	Year	Authors
+	Global well-posedness of the energy-critical stochastic nonlinear wave equations	2024	Enguerrand Brun Guopeng Li Ruoyuan Liu
+ PDF Chat	Sharp threshold of blow-up and scattering for the fractional Hartree equation	2017	Qing Guo Shihui Zhu
+ PDF Chat	On unconditional well-posedness for the periodic modified Korteweg–de Vries equation	2018	Luc Molinet Didier Pilod Stéphane Vento
+	Global Well-Posedness and Scattering for Fourth-Order Schrödinger Equations on Waveguide Manifolds	2024	Xueying Yu Haitian Yue Zehua Zhao
+	Unitary propagators for N-body Schrödinger equations in external field	2020	Kenji Yajima
+ PDF Chat	On the well-posedness of dispersive–dissipative one dimensional equations with non decaying initial data	2023	May Abdallah
+ PDF Chat	Nonhomogeneous boundary-value problems for one-dimensional nonlinear Schrödinger equations	2017	Jerry L. Bona Shu-Ming Sun Bing‐Yu Zhang
+ PDF Chat	A global compact attractor for high-dimensional defocusing non-linear Schrödinger equations with potential	2008	Terence Tao
+ PDF Chat	Unconditional well-posedness for the Kawahara equation	2021	Dan-Andrei Geba Lin Bai
+ PDF Chat	The nonlinear Schrödinger equations with combined nonlinearities of power-type and Hartree-type	2011	Daoyuan Fang Zheng Han Jialing Dai

Works Cited by This (12)

Action	Title	Year	Authors
+	Nonlinear Schrödinger equations	2008	Tosio Kato
+	StrongL p -solutions of the Navier-Stokes equation inR m , with applications to weak solutions	1984	Tosio Kato
+	Global strong solutions for nonlinear Schrödinger equations	1987	Yoshio Tsutsumi
+	Dispersion of small amplitude solutions of the generalized Korteweg-de Vries equation	1991	Francis Michael Christ Michael I. Weinstein
+	The cauchy problem for the critical nonlinear Schrödinger equation in Hs	1990	Thierry Cazenave Fred B. Weissler
+	Remarks on the preceding paper by M. Ben-Artzi ?Global solutions of two-dimensional Navier-Stokes and Euler equations?	1994	Ha�m Brezis
+ PDF Chat	Two-dimensional Navier-Stokes flow with measures as initial vorticity	1988	Yoshikazu Giga Tetsuro Miyakawa Hirofumi Osada
+	THE q-SCHRÖDINGER EQUATION	1990	Joseph A. Minahan
+	On nonlinear Schrödinger equations	1987	Tosio Kato
+ PDF Chat	The global Cauchy problem for the non linear Schrödinger equation revisited	1985	J. Ginibre G. Velo