On the existence of positive solutions of a class of parabolic reaction di usion systems

Author:

Redjouh Mounir, ,Mesbahi Salim, ,

Abstract

"In this paper, we show the existence of continuous positive solutions of a class of nonlinear parabolic reaction di usion systems with initial conditions using techniques of functional analysis and potential analysis."

Publisher

Babes-Bolyai University

Subject

General Mathematics

Reference21 articles.

1. "[1] Alaa, N., Mesbahi, S., Bouari , W., Global existence of weak solutions for parabolic triangular reaction difusion systems applied to a climate model, An. Univ. Craiova Ser. Mat. Inform., 42(2015), no. 1, 80-97.

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

3. [3] Arakelian, N., Gauthier, P.M., Approximation, Complex Analysis and Potential Theory, NATO Sci. Ser. II, Vol. 37, 2001.

4. [4] Armitage, D.H., Gardiner, S.J., Classical Potential Theory, Springer, London, 2001.

5. [5] Bachar, I., Maagli, H., Zeddini, N., Estimates on the green function and existence of positive solutions of nonlinear singular elliptic equations, Commun. Contemp. Math., 5(2003), no. 3, 401-434.

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