Variable coefficient Schrödinger flows for ultrahyperbolic operators

Carlos E. Kenig, Gustavo Ponce, C. Rolvung, Luis Vega

Type: Preprint

Publication Date: 2005-01-01

Citations: 2

DOI: https://doi.org/10.48550/arxiv.math/0503205

View Publication

Locations

arXiv (Cornell University) - View
DataCite API - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	A higher-order nonlinear Schrödinger equation with variable coefficients	2003	Xavier Carvajal Felipe Linares
+	Schrödinger-Maxwell systems with interplay between coefficients and data	2021	David Arcoya Lucio Boccardo Luigi Orsina
+	Local energy decay for linear wave equations with variable coefficients	2005	Ryo Ikehata
+	The General Quasilinear Ultrahyperbolic Schrödinger Equation	2005	Carlos E. Kenig Gustavo Ponce C. Rolvung Luis Vega
+	Solvability for Schrödinger equations with discontinuous coefficients	2015	Guixia Pan Lin Tang
+	Low Regularity Solutions for the General Quasilinear Ultrahyperbolic Schrödinger Equation	2024	Ben Pineau Mitchell A. Taylor
+ PDF Chat	Semilinear Schrödinger equation with time dependent coefficients	2009	Luca Fanelli
+	Quasilinear Schrödinger equations with bounded coefficients	2022	Yongtao Jing Haidong Liu Zhitao Zhang
+	Variable Coefficient Wave Equations and Systems	2009	Serge Alinhac
+	Decay for Nonlinear Wave Equations with Variable Coefficients	2009	Jacob Daniel Suggs
+	Local Solvability of Quasilinear Wave Equation	2023	烁民盛
+ PDF Chat	Semiclassical stationary states for nonlinear Schrödinger equations with fast decaying potentials	2009	Vitaly Moroz Jean Van Schaftingen
+ PDF Chat	Bounded solutions for quasilinear modified Schrödinger equations	2022	Anna María Candela Addolorata Salvatore Caterina Sportelli
+	The general quasilinear ultrahyperbolic Schrödinger equation	2005	Carlos E. Kenig Gustavo Ponce C. Rolvung Luis Vega
+ PDF Chat	Initial value problems and Weyl-Titchmarsh theory for Schrödinger operators with operator-valued potentials	2013	Fritz Gesztesy Rudi Weikard Maxim Zinchenko
+	Solutions for Schrödinger equations with variable separated type nonlinear terms	2023	Su Xia Chunhua Deng
+	Wave equations with time-dependent coefficients	2006	Johannes Emmerling
+	Travelling wave solutions and regularity results for nonlinear Newton-Schrödinger systems especially in one dimensions	2022	Muhammad Sajid Iqbal Mustafa İnç Samreen Safdar Muhammad Akhtar Tarar Muhammad Ozair Ahmed Naveed Shahid
+ PDF Chat	The Cauchy problem for Schrödinger type equations with variable coefficients	1998	Kunihiko Kajitani
+	The Cauchy problem for Schrödinger type equations with variable coefficients	1987	弥一ノ瀬

Works That Cite This (2)

Action	Title	Year	Authors
+	The Cauchy problem for quasi-linear Schr�dinger equations	2004	Carlos E. Kenig Gustavo Ponce Luis Vega
+ PDF Chat	Wave packet parametrices for evolutions governed by pdo's with rough symbols	2007	Jeremy L. Marzuola Jason Metcalfe Daniel Tataru

Works Cited by This (11)

Action	Title	Year	Authors
+	Harmonic Analysis: Real-variable Methods, Orthogonality, and Oscillatory Integrals	2002	Elias M. Stein Timothy S Murphy
+ PDF Chat	Remarks on nonlinear Schrödinger equations in one space dimension	1994	Nakao Hayashi Tohru Ozawa
+	On the Cauchy Problem for the Generalized Korteweg-de Vries Equation	2003	Luc Molinet Francis Ribaud
+ PDF Chat	On the boundedness of pseudo-differential operators	1971	Alberto P. Calderón Rémi Vaillancourt
+ PDF Chat	Local smoothing properties of dispersive equations	1988	Peter Constantin Jean‐Claude Saut
+	Long-time behavior of solutions to nonlinear evolution equations	1982	Sergiù Klainerman
+	Global existence of small analytic solutions to nonlinear Schrödinger equations	1990	Nakao Hayashi
+	Smoothing effects and local existence theory for the generalized nonlinear Schrödinger equations	1998	Carlos E. Kenig Gustavo Ponce Luis Vega
+	On the Zakharov and Zakharov-Schulman Systems	1995	Carlos E. Kenig Gustavo Ponce Luis Vega
+	Pseudo-differential Operators and Non-elliptic Boundary Problems	1966	Lars Hörmander