On the Initial Value Problem for the Ishimori System

Carlos E. Kenig, Gustavo Ponce, Luis Vega

Type: Article

Publication Date: 2000-06-01

Citations: 20

DOI: https://doi.org/10.1007/pl00001008

View Publication

Download PDF

Locations

Annales Henri Poincaré - View - PDF

Similar Works

Action	Title	Year	Authors
+	On the initial value problem for the Zakharov equations	1992	Tohru Ozawa Yoshio Tsutsumi
+	On Initial Value Problems for Ordinary Differential-Algebraic Equations	2007	F. Leon Pritchard William Y. Sit
+	On initial value and terminal value problems for Hamilton–Jacobi equation	2007	Arik Melikyan Andrei R. Akhmetzhanov Naira Hovakimyan
+	ON THE INITIAL VALUE PROBLEM OF LAPLACE EQUATION	1987	Li B
+	The initial value problem for the Toda system	1999	Gerald Teschl
+	The Initial Value Problem for the Zakharov System	1997	J. Colliander
+	On the initial boundary value problem for Temple systems	2003	Rinaldo M. Colombo Alessandro Groli
+	The stability on the solution of the initial value problem	1991	Shao Xiao-huang
+	Chapter 14: Systems of initial value problems	2021
+	Ordinary Differential Equations: Initial Value Problem	2017	Hassan Aref S. Balachandar
+	On the initial value problem for a class of functional-differential equations	1974	Bernard D. Coleman D. R. J. Owen
+	Initial Value Problem Differential Equations	2023	Nayef Ghasem
+	Global well-posedness of the initial value problem for the Hirota-Satsuma system	1994	Xueshang Feng
+	ON THE INITIAL VALUE PROBLEM FOR SYSTEMS OF PARTIAL DIFFERENTIAL EQUATIONS WITH SEVERAL TIME-LIKE VARIABLES	1956	Richard George Segers
+	Initial Value Problems for Ordinary Diﬀerential Equations	2009
+	Initial Value Problems for Ordinary Differential Equations	1996	Gisela Engeln-Müllges Frank Uhlig
+	Initial Value Problems for Ordinary Differential Equations	1996	Gisela Engeln-Müllges Frank Uhlig
+	Initial value problems for the Carleman equation	1980	Hans G. Kaper G. K. Leaf
+	Initial Value Problems for Ordinary Differential Equations	2022
+	On solving the initial-value problems using the differential transformation method	2000	Ming-Jyi Jang Chieh‐Li Chen Yung-Chin Liy

Works That Cite This (19)

Action	Title	Year	Authors
+	Strichartz estimates for the magnetic Schrödinger equation	2006	Atanas Stefanov
+	Almost sure local well-posedness and scattering for the 4D cubic nonlinear Schrödinger equation	2019	Benjamin Dodson Jonas Lührmann Dana Mendelson
+ PDF Chat	Global Schrödinger maps in dimensions d>=2: Small data in the critical Sobolev spaces	2011	Ioan Bejenaru Alexandru D. Ionescu Carlos E. Kenig Daniel Tataru
+ PDF Chat	Existence and uniqueness of the solution to the modified Schrödinger map	2005	Jun Kato
+ PDF Chat	Regularity Criteria for Hyperbolic Navier-Stokes and Related System	2012	Jishan Fan Tohru Ozawa
+ PDF Chat	The Cauchy problem for the planar spin-liquid model	2005	Nai‐Heng Chang Oktay K. Pashaev
+	The inviscid limit of the derivative complex Ginzburg–Landau equation	2003	Baoxiang Wang Wang Youde
+	Equivariante and Self-similar Standing Waves for a Hamiltonian Hyperbolic-hyperbolic Spin-field System	2014	Nan Lu Andrea R. Nahmod Chongchun Zeng
+	Uniform regularity for the Landau-Lifshitz-Maxwell system without dissipation	2014	Jishan Fan Tohru Ozawa
+	Global regularity of critical Schrödinger maps: subthreshold dispersed energy	2011	Paul N. Smith

Works Cited by This (16)

Action	Title	Year	Authors
+	The analysis of linear partial differential operators	1990	Lars Hörmander
+ PDF Chat	Global existence of small solutions to the Davey-Stewartson and the Ishimori systems	1995	Nakao Hayashi Jean–Claude Saut
+ PDF Chat	Remarks on nonlinear Schrödinger equations in one space dimension	1994	Nakao Hayashi Tohru Ozawa
+	The Cauchy problem for the generalized Korteweg-de-Vries equation	2006	J. Ginibre
+	The Cauchy problem for the Ishimori equations	1992	Alain Soyeur
+	Microlocal dispersive smoothing for the Schrödinger equation	1995	Walter Craig Thomas Kappeler Walter A. Strauss
+ PDF Chat	Local smoothing properties of dispersive equations	1988	Peter Constantin Jean‐Claude Saut
+	On the initial value problem for the Davey-Stewartson systems	1990	Jean‐Michel Ghidaglia Jean‐Claude Saut
+	Smoothing effects and local existence theory for the generalized nonlinear Schrödinger equations	1998	Carlos E. Kenig Gustavo Ponce Luis Vega
+	Nonlinear Evolution Equations—Two and Three Dimensions	1975	Mark J. Ablowitz R. Haberman