Maximal Lp-Lq regularity for parabolic partial differential equations on manifolds with cylindrical ends

Thomas Krainer

doi:10.1007/s00020-009-1660-7

Maximal L^p-L^q regularity for parabolic partial differential equations on manifolds with cylindrical ends

Thomas Krainer

Division of Mathematics & Natural Sciences (Altoona)

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

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 {\mathcal{R}}-boundedness for the resolvent.

Original language	English (US)
Pages (from-to)	521-531
Number of pages	11
Journal	Integral Equations and Operator Theory
Volume	63
Issue number	4
DOIs	https://doi.org/10.1007/s00020-009-1660-7
State	Published - Apr 2009

All Science Journal Classification (ASJC) codes

Analysis
Algebra and Number Theory

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10.1007/s00020-009-1660-7

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title = "Maximal Lp-Lq regularity for parabolic partial differential equations on manifolds with cylindrical ends",

abstract = "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 \{\textbackslash{}mathcal\{R\}\}-boundedness for the resolvent.",

author = "Thomas Krainer",

year = "2009",

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AU - Krainer, Thomas

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DO - 10.1007/s00020-009-1660-7

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JO - Integral Equations and Operator Theory

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Maximal L^p-L^q regularity for parabolic partial differential equations on manifolds with cylindrical ends

Abstract

All Science Journal Classification (ASJC) codes

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