Solution to nonlinear gradient dependent systems with a balance law.
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Electronic Journal of Differential Equations (EJDE)[electronic only]
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 u = un j rv jp;
vt 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 .