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LARGE TIME EXISTENCE AND BEHAVIOR OF SOLUTION FOR SYSTEMS OF NONLINEAR REACTION-DIFFUSION EQUATIONS
Chen Shaohua
Acta mathematica scientia,Series B. 1988, 8 (1):
35-44.
This paper deals with the existence of solution for the systems ui-K△u=F(t, x, u, ▽u) with the initial boundary value condition, where F (t, x, y, z) grows in y, z with arbitrary power and goes to infinity as t→∞. Under suitable assumptions on the nonlinear term F and the initial value condition, we will obtain a unique global solution and an asymptotic estimate.
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