Blow-up for a semilinear heat equation with moving nonlinear reaction
We study the behavior of solutions of the semilinear problem $$\displaylines{ u_t=u_{xx}+(1+(T-t)^{-\alpha}\chi_{\{|x|<(T-t)^{1/2}\}}) u^p,\quad x\in\mathbb R,\; t\in(0,T),\cr u(x,0)=u_0(x)\ge 0, \quad x\in\mathbb R, }$$ with $\alpha>0$ and p>0 We describe, in terms of the parameters...
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| Format: | Article |
| Language: | English |
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Texas State University
2018-01-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2018/32/abstr.html |