Weighted energy decay for 3D wave equation

E.A. Kopylova

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Weighted energy decay for 3D wave equation

机译：3D波动方程的加权能量衰减

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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 Schroedinger equation.

机译：对于具有通用电位的3D波动方程，我们获得了加权能量范式的色散长时间衰减。衰减扩展了Jensen和Kato对于3D Schroedinger方程获得的结果。

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来源
《Asymptotic analysis》 |2009年第2期|1-16|共16页
作者
E.A. Kopylova;
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作者单位

Institute for Information Transmission Problems of Russian Academy of Sciences, B. Karetnyi 19, Moscow 101447, GSP-4, Russia;

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原文格式 PDF
正文语种 eng
中图分类
关键词
dispersion; wave equation; resolvent; spectral representation; weighted spaces; continuous spectrum; born series; convolution; long-time asymptotics;

机译：分散;波动方程决心光谱表示加权空间;连续光谱天生系列卷积;长期无症状;

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4. Energy decay estimate for the boundary stabilization of the coupled wave equations [C] . Najafi, M., Bahr, . 1995

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5. Global existence of solutions to nonlinear wave equations by weighted Strichartz inequalities. [D] . Alpay, Nimet. 2004

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6. Global Existence and Energy Decay Rates for a Kirchhoff-Type Wave Equation with Nonlinear Dissipation [O] . Daewook Kim, Dojin Kim, Keum-Shik Hong, -1

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7. The role of local energy decay in $L^p$-estimates for the wave equation with time-dependent dissipation (Study of Wave Equations : Decay, Boundedness, and Growth of Energy) [O] . Matsuyama Tokio 2005

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Weighted energy decay for 3D wave equation

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