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

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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 languageEnglish (US)
Pages (from-to)521-531
Number of pages11
JournalIntegral Equations and Operator Theory
Volume63
Issue number4
DOIs
StatePublished - Apr 1 2009

All Science Journal Classification (ASJC) codes

  • Analysis
  • Algebra and Number Theory

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