Generalized result on the global existence of positive solutions for a parabolic reaction diffusion model with a full diffusion matrix

Author:

Barrouk Nabila, ,Mesbahi Salim, ,

Abstract

"In this paper, we study the global existence in time of solutions for a parabolic reaction di usion model with a full matrix of di usion coe cients on a bounded domain. The technique used is based on compact semigroup methods and some estimates. Our objective is to show, under appropriate hypotheses, that the proposed model has a global solution with a large choice of nonlinearities."

Publisher

Babes-Bolyai University

Subject

General Mathematics

Reference27 articles.

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2. [2] Alaa, N., Mesbahi, S., Mouida, A., Bouarifi, W., Existence of solutions for quasilinear elliptic degenerate systems with L1 data and nonlinearity in the gradient, Electron. J. Diff. Equ., Vol. 2013(2013), No. 142, 1-13.

3. [3] Alikakos, N.D., Lp-bounds of solutions of reaction diffusion equations, Comm. Partial Differential Equations, 4(1979), 827-868.

4. [4] Bonafede, S., Schmitt, D., Triangular reaction diffusion systems with integrable initial data, Nonlinear Analysis, 33(1998), 785-801.

5. [5] Britton, N.F., Reaction Diffusion Equations and Their Applications to Biology, Academic Press, London, 1986.

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