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Wentzell Boundary Conditions in the Nonsymmetric Case

Published online by Cambridge University Press:  23 October 2008

A. Favini ,
G. R. Goldstein ,
J. A. Goldstein  and
S. Romanelli
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
*
[email protected]
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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.

Keywords

Wentzell boundary conditionsnonsymmetric elliptic operatorsC0 semigroupsquasidissipativeoperators
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 3 , Issue 7: Special issue dedicated to Glenn Webb , 2008 , pp. 143 - 147
Copyright
© EDP Sciences, 2008

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