Extinction Phenomenon and Decay Estimate for a Quasilinear Parabolic Equation with a Nonlinear Source
By energy estimate approach and the method of upper and lower solutions, we give the conditions on the occurrence of the extinction and nonextinction behaviors of the solutions for a quasilinear parabolic equation with nonlinear source. Moreover, the decay estimates of the solutions are studied.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2021/5569043 |
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| _version_ | 1832563321876774912 |
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| author | Dengming Liu Luo Yang |
| author_facet | Dengming Liu Luo Yang |
| author_sort | Dengming Liu |
| collection | DOAJ |
| description | By energy estimate approach and the method of upper and lower solutions, we give the conditions on the occurrence of the extinction and nonextinction behaviors of the solutions for a quasilinear parabolic equation with nonlinear source. Moreover, the decay estimates of the solutions are studied. |
| format | Article |
| id | doaj-art-d8c1f063547646b49d45b07239fc874c |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-d8c1f063547646b49d45b07239fc874c2025-02-03T01:20:31ZengWileyAdvances in Mathematical Physics1687-91201687-91392021-01-01202110.1155/2021/55690435569043Extinction Phenomenon and Decay Estimate for a Quasilinear Parabolic Equation with a Nonlinear SourceDengming Liu0Luo Yang1School of Mathematics and Computational Science, Hunan University of Science and Technology, Xiangtan, Hunan 411201, ChinaSchool of Mathematics and Computational Science, Hunan University of Science and Technology, Xiangtan, Hunan 411201, ChinaBy energy estimate approach and the method of upper and lower solutions, we give the conditions on the occurrence of the extinction and nonextinction behaviors of the solutions for a quasilinear parabolic equation with nonlinear source. Moreover, the decay estimates of the solutions are studied.http://dx.doi.org/10.1155/2021/5569043 |
| spellingShingle | Dengming Liu Luo Yang Extinction Phenomenon and Decay Estimate for a Quasilinear Parabolic Equation with a Nonlinear Source Advances in Mathematical Physics |
| title | Extinction Phenomenon and Decay Estimate for a Quasilinear Parabolic Equation with a Nonlinear Source |
| title_full | Extinction Phenomenon and Decay Estimate for a Quasilinear Parabolic Equation with a Nonlinear Source |
| title_fullStr | Extinction Phenomenon and Decay Estimate for a Quasilinear Parabolic Equation with a Nonlinear Source |
| title_full_unstemmed | Extinction Phenomenon and Decay Estimate for a Quasilinear Parabolic Equation with a Nonlinear Source |
| title_short | Extinction Phenomenon and Decay Estimate for a Quasilinear Parabolic Equation with a Nonlinear Source |
| title_sort | extinction phenomenon and decay estimate for a quasilinear parabolic equation with a nonlinear source |
| url | http://dx.doi.org/10.1155/2021/5569043 |
| work_keys_str_mv | AT dengmingliu extinctionphenomenonanddecayestimateforaquasilinearparabolicequationwithanonlinearsource AT luoyang extinctionphenomenonanddecayestimateforaquasilinearparabolicequationwithanonlinearsource |