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Eighth Mississippi State - UAB Conference on Differential Equations & Computational Simulations
May 7-9, 2009
Department of Mathematics and Statistics, Mississippi State University
Mississippi State, MS, USA |
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Organizers
Mississippi State University & University of Alabama - Birmingham
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Principal eigenvalues for some non selfadjoint elliptic problems and applications.
by
Jean-Pierre Gossez
Université Libre de Bruxelles
Coauthors: T. Godoy and S. Paczka (Universidad de Cordoba, Argentina)
It is our purpose in this talk to present a minimax formula for the principal eigenvalues of a (generally non selfadjoint) elliptic problem of the form:
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- div (A(x) ∇ u)+ < a(x), ∇ u > +a0(x) u=l m(x) u in W, |
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where m(x) is a weight function which may be indefinite. Several
applications will be considered. One concerns the antimaximum
principle. Another one concerns the asymptotic behaviour of the
principal eigenvalues when the first order coefficient a(x)
becomes large. There are also applications to some inverse
problems. (Joint work with T.Godoy and S.Paczka).
PDF
Date received: October 12, 2008
Copyright © 2008 by the author(s).
The author(s) of this document and the organizers of the conference
have granted their consent to include this abstract in
Atlas Conferences Inc.
Document # caxp-07.