On the wave equation with a large rough potential

被引：65
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.
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收藏
页码：30 / 77
页数：48
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