Acta mathematica scientia,Series B ›› 1988, Vol. 8 ›› Issue (1): 35-44.
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Chen Shaohua
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Abstract: 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.
Chen Shaohua. LARGE TIME EXISTENCE AND BEHAVIOR OF SOLUTION FOR SYSTEMS OF NONLINEAR REACTION-DIFFUSION EQUATIONS[J].Acta mathematica scientia,Series B, 1988, 8(1): 35-44.
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