Electronic Journal of Differential Equations,
Vol. 2010(2010), No. 75, pp. 1-15.

Title: Reaction-diffusion system of equations in non-stationary
       medium and arbitrary non-smooth domains
       
Author: Sikiru Adigun Sanni (Univ. of Uyo, Nigeria)

Abstract:
 A system of non-linear partial differential equations describing
 one-step irreversible reaction, reactant to product,
 in a non-stationary medium and non-smooth domain is considered.
 After obtaining the necessary a priori estimates, the existence
 of a unique local strong solution to the system is proved using
 a fixed point theorem.
 
Submitted November 27, 2009. Published May 21, 2010.
Math Subject Classifications: 35B40, 35K57, 80A25.
Key Words: Irreversible reaction; reactant diffusivity;
           thermal conductivity; a priori estimates; 
	   Banach's fixed point theorem.