On the wave equation with a large rough potential

被引：61

作者：

D'ancona, P

Pierfelice, V

机构：

[1] Univ Roma La Sapienza, Dipartimento Matemat, I-00185 Rome, Italy

[2] Univ Pisa, Dipartimento Matemat, I-56127 Pisa, Italy

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2005年 / 227卷 / 01期

关键词：

wave equation; kato potential; decay estimates; dispersive estimate; resolvent estimates;

D O I：

10.1016/j.jfa.2005.05.013

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove an optimal dispersive L-infinity decay estimate for a three-dimensional wave equation perturbed with a large nonsmooth potential belonging to a particular Kato class. The proof is based on a spectral representation of the solution and suitable resolvent estimates for the perturbed operator. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：30 / 77

页数：48

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