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Stability of steady states of the Cauchy problem for the exponential reaction-diffusion equation
Citation
Tello del Castillo, José Ignacio (2006). Stability of steady states of the Cauchy problem for the exponential reaction-diffusion equation. "Journal of mathematical analysis and applications", v. 324 (n. 1); pp. 381-396. ISSN 0022-247X. https://doi.org/10.1016/j.jmaa.2005.12.011.
Description
| Title: | Stability of steady states of the Cauchy problem for the exponential reaction-diffusion equation |
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| Author/s: |
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| Item Type: | Article |
| Título de Revista/Publicación: | Journal of mathematical analysis and applications |
| Date: | 1 December 2006 |
| ISSN: | 0022-247X |
| Volume: | 324 |
| Subjects: | |
| Freetext Keywords: | Stability; Blow up; Exponential reaction–diffusion equation |
| Faculty: | E.U. de Informática (UPM) |
| Department: | Matemática Aplicada |
| Creative Commons Licenses: | Recognition - No derivative works - Non commercial |
Abstract
Abstract We consider the Cauchy problem ut = u + eu, x ∈ RN , t ∈ (0, T ), u(x, 0) = u0, x ∈ RN , where u0 ∈ C(RN ) and T > 0. We first study the radial steady states of the equation and the number of intersections distinguishing four different cases: N = 1, N = 2, 3 N 9 and N 10, writing explicitly every steady state for N = 1 and N = 2. Then we study the large time behavior of solutions of the parabolic problem.
Funding Projects
| Type | Code | Acronym | Leader | Title |
|---|---|---|---|---|
| Unspecified | HPRN-CT-2002-00274 | Unspecified | European Community’s Human Potential Programme | Fronts-Singularities |
| Unspecified | MTM2004-07590-C03-01. | Unspecified | DGISGPI (Spain) | Unspecified |
More information
| Item ID: | 45809 |
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| DC Identifier: | http://oa.upm.es/45809/ |
| OAI Identifier: | oai:oa.upm.es:45809 |
| DOI: | 10.1016/j.jmaa.2005.12.011 |
| Official URL: | http://www.sciencedirect.com/science/article/pii/S0022247X05012977 |
| Deposited by: | Memoria Investigacion |
| Deposited on: | 26 May 2017 16:17 |
| Last Modified: | 26 May 2017 16:17 |
