Existence and blow-up of solutions for a semilinear filtration problem
We first examine the existence and uniqueness of local solutions to the semilinear filtration equation $u_t=Delta K(u)+lambda f(u)$, for $lambda>0$, with initial data $u_0geq 0$ and appropriate boundary conditions. Our main result is the proof of blow-up of solutions for some $lambda$. Moreo...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2013-08-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2013/178/abstr.html |