Nguyen Anh Dao
Abstract:
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.
Submitted August 14, 2016. Published November 25, 2016.
Math Subject Classifications: 35K65, 35K15.
Key Words: Degenerate parabolic equations; large solution; very singular solution;
Dirac measure.
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| Nguyen Anh Dao Applied Analysis Research Group Faculty of Mathematics and Statistics Ton Duc Thang University, Ho Chi Minh City, Vietnam email: daonguyenanh@tdt.edu.vn |
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