Díaz Díaz, Jesús Ildefonso and Bandle, Chatherine and Díaz Díaz, Gregorio (1994) Solutions of reaction-diffusion equations blowing-up on the parabolic boundary. Comptes Rendus de l'Académie des Sciences. Série I. Mathématique , 318 (5). pp. 455-460. ISSN 0764-4442
![[img]](/style/images/fileicons/application_pdf.png) | PDF Restricted to Repository staff only until 31 December 2020. 224Kb |
Abstract
We study the existence, the asymptotic behaviour near the parabolic boundary and the uniqueness of the solutions of nonlinear reaction-diffusion equations, which blow up on the parabolic boundary. We extend some results for elliptic problems given in ([1], [4]). A fondamental tool is the construction of suitable upper and lower solutions.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | blow up on the parabolic boundary; upper and lower solutions; elliptic-equations; uniqueness; existence |
| Subjects: | Sciences > Mathematics > Differential equations |
| ID Code: | 16162 |
| References: | C. BANDLE et M. MARCUS, J. Anal. Math., 58, 1992, p. 9-24 C. BANDLE et M. MARCUS, Asymptotic behaviour 01 solutions and their derivatives with blow up on the boundary (manuscrit). M. G. CRANDALL, P.-L. LIONS et P. SOUGANIDIS, Arch. Rat. Mech. Anal., 105, 1989, p. 163-190. G. DÍAZ et R. LETELlER, Nonlinear Analysis MTA, 20, 1993, p. 97-125. J. I. DÍAZ, C. R. A cad. Sci. Paris, 312, série 1, 1991, p. 519-522. J. I. DíAZ, Memorias de la Real Academia de Ciencias de Madrid, XXVIII, 1991. N. J. KOREVAAR, Ind. Univ. Math. J., 32, n° 4, 1983, p. 603-614. J. M. LASRY et P.-L. LIONS, Math Ann., 283, 1989, p. 583-630. D. SATTlNGER, Ind. Univ. Math. J., 21, 1972, p. 979-1000. J. L. VAZQUEZ et M. WALIAS, Existence and uniqueness of solution of diffusion-absorption equations with general data, Journal of Differential and Integral Equations (a paraitre). |
| Deposited On: | 11 Sep 2012 10:07 |
| Last Modified: | 08 May 2013 18:51 |
Repository Staff Only: item control page
