The critical exponent for a weakly coupled system of the generalized Fujita type reaction-diffusion equations期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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The critical exponent for a weakly coupled system of the generalized Fujita type reaction-diffusion equations

Authors:

Yoshitaka Uda

Institution:

1. Dept of Mathematics, Iowa State University, 50011, Ames, Iowa, USA

Abstract:

We study nonnegative solutions of the initial value problem for a weakly coupled system

$\begin{gathered} \left\{ \begin{gathered} u_t = L_1 u + t^{s1} \upsilon ^{p1} \hfill \\ \upsilon _t = L_2 \upsilon + t^{s2} u^{p2} \hfill \\ \end{gathered} \right.(x,t) \in \mathbb{R}^N \times (0,T) \hfill \\ u(x,0) = u_0 (x) \geqslant 0 \hfill \\ \upsilon (x,0) = \upsilon _0 (x) \geqslant 0x \in \mathbb{R}^N \hfill \\ u_0 ,\upsilon _0 \in L^\infty (\mathbb{R}^N ) \hfill \\ \end{gathered}$

Keywords:
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