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.

引用

页码：521 / 531

页数：11

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