Quenching behavior of semilinear heat equations with singular boundary conditions
In this article, we study the quenching behavior of solution to the semilinear heat equation $$ v_t=v_{xx}+f(v), $$ with $f(v)=-v^{-r}$ or $(1-v)^{-r}$ and $$ v_x(0,t)=v^{-p}(0,t), \quad v_x(a,t) =(1-v(a,t))^{-q}. $$ For this, we utilize the quenching problem $u_t=u_{xx}$ with $u_x(0,t)=u...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2015-12-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2015/311/abstr.html |