Uniqueness of a very singular solution to nonlinear degenerate parabolic equations with absorption for Dirichlet boundary condition
We prove the existence and uniqueness of singular solutions (fundamental solution, very singular solution, and large solution) of quasilinear parabolic equations with absorption for Dirichlet boundary condition. We also show the short time behavior of singular solutions as t tends to 0.
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| Format: | Article |
| Language: | English |
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Texas State University
2016-11-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2016/299/abstr.html |
| Summary: | We prove the existence and uniqueness of singular solutions
(fundamental solution, very singular solution, and large solution)
of quasilinear parabolic equations with absorption for Dirichlet boundary
condition. We also show the short time behavior of singular solutions as
t tends to 0. |
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| ISSN: | 1072-6691 |