Regularity of the heat operator on a manifold with cylindrical ends

Thalia D. Jeffres; Paul Loya

doi:10.2140/pjm.2004.215.331

Regularity of the heat operator on a manifold with cylindrical ends

Thalia D. Jeffres
, Paul Loya

Mathematics and Statistics

Binghamton University

Universidad Michoacana de San Nicolas de Hidalgo

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

2 Scopus citations

Abstract

We study mapping properties of the heat operator e^tA of an m-th order elliptic b-difFerential operator in appropriately defined spaces of whole and fractional (Hölder) derivatives. An application is made to short time existence of solutions to certain semilinear parabolic equations.

Original language	English
Pages (from-to)	331-345
Number of pages	15
Journal	Pacific Journal of Mathematics
Volume	215
Issue number	2
DOIs	https://doi.org/10.2140/pjm.2004.215.331
State	Published - Jun 2004

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title = "Regularity of the heat operator on a manifold with cylindrical ends",

abstract = "We study mapping properties of the heat operator etA of an m-th order elliptic b-difFerential operator in appropriately defined spaces of whole and fractional (H{\"o}lder) derivatives. An application is made to short time existence of solutions to certain semilinear parabolic equations.",

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AU - Loya, Paul

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AB - We study mapping properties of the heat operator etA of an m-th order elliptic b-difFerential operator in appropriately defined spaces of whole and fractional (Hölder) derivatives. An application is made to short time existence of solutions to certain semilinear parabolic equations.

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DO - 10.2140/pjm.2004.215.331

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VL - 215

SP - 331

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JO - Pacific Journal of Mathematics

JF - Pacific Journal of Mathematics

IS - 2

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Regularity of the heat operator on a manifold with cylindrical ends

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