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Wentzell Boundary Conditions in the Nonsymmetric Case

Published online by Cambridge University Press:  23 October 2008

A. Favini
Affiliation:
Dipartimento di Matematica, Università degli Studi di Bologna, Piazza di Porta S. Donato 5 40126 Bologna, Italy
G. R. Goldstein
Affiliation:
Department of Mathematical Sciences, University of Memphis, Memphis, Tennessee 38152
J. A. Goldstein
Affiliation:
Department of Mathematical Sciences, University of Memphis, Memphis, Tennessee 38152
S. Romanelli*
Affiliation:
Dipartimento di Matematica, Universit`a degli Studi di Bari, via E. Orabona 4, 70125 Bari, Italy
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Abstract

Let L be a nonsymmetric second order uniformly elliptic operator with generalWentzellboundary conditions. We show that a suitable version of L generates a quasicontractive semigroupon an Lp space that incorporates both the underlying domain and its boundary. This extends theearlier work of the authors on the symmetric case.

Type
Research Article
Copyright
© EDP Sciences, 2008

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