Scattering theory in the energy space for a class of non-linear wave equations

Type: Article

Publication Date: 1989-12-01

Citations: 97

DOI: https://doi.org/10.1007/bf01218585

Locations

  • Communications in Mathematical Physics - View
  • Project Euclid (Cornell University) - View - PDF

Similar Works

Action Title Year Authors
+ PDF Chat Scattering Theory in the Energy Space for a Class of Nonlinear Wave Equations 2018 J. Ginibre
+ Introduction to scattering theory for a linear and a nonlinear wave equation 1976 Jeffery Cooper
+ A new paradigm for scattering theory of linear and nonlinear waves: review and open problems 2024 Avy Soffer
+ Scattering problems and the inverse problems for non-linear wave equations 2014 Matti Lassas
+ Construction of the wave operator for non-linear dispersive equations 2012 Kai Erik Tsuruta
+ Scattering Theory for Wave Equations with Dissipative Terms 1976 Kiyoshi Mochizuki
+ Unsolved Problems in the Theory of Non-Linear Wave Equations 1978 Michael C. Reed
+ Equation of nonlinear waves in a scattering medium 2002 О. В. Руденко
V. A. Robsman
+ Scattering theory for the wave equation with a potential 1965 Dale Thoe
+ Scattering theory for nonlinear wave equations in the invariant Sobolev space 1995 Kunio Hidano
Kimitoshi Tsutaya
+ Scattering for the quasilinear wave equations with null conditions in two dimensions 2020 Daoyin He
Jie Liu
Keyan Wang
+ SCATTERING THEORY FOR THE WAVE EQUATION ON NON-COMPACT MANIFOLDS 1992 STEPHAN DEBIÈVRE
Peter D. Hislop
Israel Michael Sigal
+ Non-linear wave and Schrödinger equations 1993 Israel Michael Sigal
+ PDF Chat Quantum wave equations and non-radiating electromagnetic sources 2006 Mark Davidson
+ Operators for wave equations in general linear media 1961 I. Sugai
+ Scattering Problem for a Wave Equation with Absorption 2004 E. V. Tarasova
+ Wave-equation scattering in even-dimensional spaces 1976 V. M. Adamyan
+ The Cauchy problem and scattering theory for semilinear wave equations 1993 公利 津田谷
+ PDF Chat Non-linear wave equations in a curved background space 1978 P M Kadmore
G. Stephenson
+ On a class of scattering equations 1972 L. J. F. Broer
M. F. H. Schuurmans

Works That Cite This (95)

Action Title Year Authors
+ PDF Chat Strichartz estimates and maximal operators for the wave equation in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow><mml:mrow><mml:mn>3</mml:mn></mml:mrow></mml:msup></mml:math> 2013 Marius Beceanu
Michael Goldberg
+ PDF Chat Soliton Resolution for the Energy-Critical Nonlinear Wave Equation in the Radial Case 2023 Jacek Jendrej
Andrew Lawrie
+ PDF Chat Local smooth solutions of the nonlinear Klein-gordon equation 2020 Thierry Cazenave
Ivan Naumkin
+ PDF Chat Long-range scattering for a critical homogeneous type nonlinear Schrödinger equation with time-decaying harmonic potentials 2023 Masaki Kawamoto
Hayato Miyazaki
+ Conformal conservation law, time decay and scattering for nonlinear wave equations 2003 Kunio Hidano
+ PDF Chat Asymptotic behaviour of small solutions for the discrete nonlinear Schrödinger and Klein–Gordon equations 2005 Atanas Stefanov
P. G. Kevrekidis
+ Local and global space-time integrability for the inhomogeneous heat equation 2021 Елена Николова
Mirko Tarulli
George Venkov
+ PDF Chat Scattering Theory for Semilinear Wave Equations with Small Data in Two Space Dimensions 1994 Kimitoshi Tsutaya
+ PDF Chat Generalized Strichartz Estimates and Scattering for 3D Zakharov System 2014 Zihua Guo
Sanghyuk Lee
Kenji Nakanishi
Chengbo Wang
+ PDF Chat Global Pointwise Decay Estimates for Defocusing Radial Nonlinear Wave Equations 2010 Roger Bieli
Nikodem Szpak