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| ON THE BOUNDED AND UNBOUNDED SOLUTIONS OF ONE DIMENSIONAL NONLINEAR REACTION-DIFFUSION PROBLEM |
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Citation： |
Ge Weigao,R. O. Weber.ON THE BOUNDED AND UNBOUNDED SOLUTIONS OF ONE DIMENSIONAL NONLINEAR REACTION-DIFFUSION PROBLEM[J].Chinese Annals of Mathematics B,1995,16(2):245~254 |
| Page view： 1077
Net amount： 677 |
Authors： |
Ge Weigao; R. O. Weber |
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| Abstract： |
The existence of bounded and unbounded solutions to nonlinear
reaction-diffusion problem $u_t =\Delta \Phi (u)+F(u,x,t)$ with
initial or initial-boundary conditions is discussed when $
u=u(x,t), x\in R$. Simple criteria are given. |
Keywords： |
Reaction-Diffusion equation, Bounded solution,
Cauchy problem. |
Classification： |
35K57 |
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