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.
| 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 15:09 |
| Last Modified: | 04 Apr 2012 14:57 |
| 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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