Vol. 215, No. 2, 2004

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Regularity of the heat operator on a manifold with cylindrical ends

Thalia D. Jeffres and Paul Loya

Vol. 215 (2004), No. 2, 331–345
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 (Hölder) derivatives. An application is made to short time existence of solutions to certain semilinear parabolic equations.

Milestones
Received: 24 September 2003
Published: 1 June 2004
Authors
Thalia D. Jeffres
Universidad Michoacana
Morelia
Mexico
Paul Loya
Department of Mathematics
SUNY at Binghamton
Binghamton, NY 13902