Solution to nonlinear gradient dependent systems with a balance law.

Abstract

In this paper , we are concerned with the initial boundary value problem ( IBVP ) and with the Cauchy problem to the reaction - di usion system ut ð€€€ u = ð€€€un j rv jp; vt ð€€€ d v = un j rv jp; where 1 p 2; d and n are positive real numbers . Results on the existence and large - t ime behavior of the solutions are presented .