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arxiv: 0808.2433 · v1 · submitted 2008-08-18 · 🧮 math.AP

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

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keywords cylindricalendsequationsmanifoldsmaximalparabolicregularityconcept
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We give a short, simple proof of maximal 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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