Maximal Lp-Lq Regularity for Parabolic Partial Differential Equations on Manifolds with Cylindrical Ends

被引：3
|
作者：
Krainer, Thomas [1 ]
机构：
[1] Penn State Altoona, Altoona, PA 16601 USA
来源：
INTEGRAL EQUATIONS AND OPERATOR THEORY | 2009年 / 63卷 / 04期
关键词：
Maximal regularity; R-boundedness; pseudodifferential operators; FOURIER MULTIPLIER THEOREMS; PSEUDODIFFERENTIAL-OPERATORS; EVOLUTION-EQUATIONS;
D O I：
10.1007/s00020-009-1660-7
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give a short, simple proof of maximal L-p-L-q regularity for linear parabolic evolution equations on manifolds with cylindrical ends by making use of pseudodifferential parametrices and the concept of R-boundedness for the resolvent.
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页码：521 / 531
页数：11
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