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 |
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Article |
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doaj-785ed196dc0d415781dc8a3bffb105162020-11-25T00:43:29ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912016-11-012016299,18Uniqueness of a very singular solution to nonlinear degenerate parabolic equations with absorption for Dirichlet boundary conditionNguyen Anh Dao0 Ton Duc Thang Univ., Ho Chi Minh City, Vietnam 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.http://ejde.math.txstate.edu/Volumes/2016/299/abstr.htmlDegenerate parabolic equations large solutionvery singular solutionDirac measure |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Nguyen Anh Dao |
| spellingShingle |
Nguyen Anh Dao Uniqueness of a very singular solution to nonlinear degenerate parabolic equations with absorption for Dirichlet boundary condition Electronic Journal of Differential Equations Degenerate parabolic equations large solution very singular solution Dirac measure |
| author_facet |
Nguyen Anh Dao |
| author_sort |
Nguyen Anh Dao |
| title |
Uniqueness of a very singular solution to nonlinear degenerate parabolic equations with absorption for Dirichlet boundary condition |
| title_short |
Uniqueness of a very singular solution to nonlinear degenerate parabolic equations with absorption for Dirichlet boundary condition |
| title_full |
Uniqueness of a very singular solution to nonlinear degenerate parabolic equations with absorption for Dirichlet boundary condition |
| title_fullStr |
Uniqueness of a very singular solution to nonlinear degenerate parabolic equations with absorption for Dirichlet boundary condition |
| title_full_unstemmed |
Uniqueness of a very singular solution to nonlinear degenerate parabolic equations with absorption for Dirichlet boundary condition |
| title_sort |
uniqueness of a very singular solution to nonlinear degenerate parabolic equations with absorption for dirichlet boundary condition |
| publisher |
Texas State University |
| series |
Electronic Journal of Differential Equations |
| issn |
1072-6691 |
| publishDate |
2016-11-01 |
| description |
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. |
| topic |
Degenerate parabolic equations large solution very singular solution Dirac measure |
| url |
http://ejde.math.txstate.edu/Volumes/2016/299/abstr.html |
| work_keys_str_mv |
AT nguyenanhdao uniquenessofaverysingularsolutiontononlineardegenerateparabolicequationswithabsorptionfordirichletboundarycondition |
| _version_ |
1725277991030751232 |