Weighted energy decay for 3D wave equation

被引：7

作者：

Kopylova, E. A. ^{[1
]}

机构：

[1] Russian Acad Sci, Inst Informat Transmiss Problems, Moscow 101447, Russia

来源：

ASYMPTOTIC ANALYSIS | 2009年 / 65卷 / 1-2期

关键词：

dispersion; wave equation; resolvent; spectral representation; weighted spaces; continuous spectrum; Born series; convolution; long-time asymptotics; MULTICHANNEL NONLINEAR SCATTERING; KLEIN-GORDON EQUATION; ASYMPTOTIC STABILITY; SCHRODINGER-OPERATORS; SPECTRAL PROPERTIES; TIME-DECAY; EXPANSIONS; SOLITONS;

D O I：

10.3233/ASY-2009-0945

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We obtain a dispersive long-time decay in weighted energy norms for solutions to the 3D wave equation with generic potential. The decay extends the results obtained by Jensen and Kato for the 3D Schrodinger equation.

引用

页码：1 / 16

页数：16

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