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Chipot, M; Hale, J (1983). Stable equilibria with variable diffusion. In: Smoller, J A. Nonlinear partial differential equations (Durham, N.H. 1982). Providence, RI, 209-213. ISBN 0-8218-5017-2.

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Abstract

For a scalar nonlinear parabolic equation in one space dimension with homogeneous Neumann boundary conditions, criteria are given on the diffusion coefficient to ensure that the stable equilibrium solutions are constant functions regardless of the nonlinearities. The Dirichlet problem is also discussed.

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Additional indexing

Other titles:Papers from the Conference held at the University of New Hampshire, Durham, N.H., June 20--26, 1982.
Item Type:Book Section, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
DDC:510 Mathematics
Uncontrolled Keywords:*Nonlinear differential equations, *Constants, *Diffusion coefficient, Equilibrium(General), Stability, Boundaries, Solutions(General), Homogeneity, Parabolas, Scalar functions, Theorems, Parabolas, Dirichlet integral
Language:English
Date:1983
Deposited On:29 Oct 2009 14:09
Last Modified:04 Apr 2012 12:57
Publisher:American Mathematical Society
Series Name:Contemporary Mathematics
Number:17
ISSN:0271-4132
ISBN:0-8218-5017-2
Official URL:http://www.ams.org/publications/books/monographs/conm-home
Related URLs:http://www.ams.org/mathscinet-getitem?mr=706100
http://www.zentralblatt-math.org/zbmath/search/?q=an%3A0531.35046

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