Blow-Up Analysis for a Quasilinear Parabolic Equation with Inner Absorption and Nonlinear Neumann Boundary Condition
We investigate an initial-boundary value problem for a quasilinear parabolic equation with inner absorption and nonlinear Neumann boundary condition. We establish, respectively, the conditions on nonlinearity to guarantee that u(x,t) exists globally or blows up at some finite time t*. Moreover, an u...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/289245 |
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| _version_ | 1832565069459750912 |
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| author | Zhong Bo Fang Yan Chai |
| author_facet | Zhong Bo Fang Yan Chai |
| author_sort | Zhong Bo Fang |
| collection | DOAJ |
| description | We investigate an initial-boundary value problem for a quasilinear parabolic equation with inner absorption and nonlinear Neumann boundary condition. We establish, respectively, the
conditions on nonlinearity to guarantee that u(x,t) exists globally or blows up at some finite time t*. Moreover, an upper bound for t* is derived. Under somewhat more restrictive conditions, a lower bound for t* is also obtained. |
| format | Article |
| id | doaj-art-f6fa9e14d2aa46468638522a5fa08573 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-f6fa9e14d2aa46468638522a5fa085732025-02-03T01:09:38ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/289245289245Blow-Up Analysis for a Quasilinear Parabolic Equation with Inner Absorption and Nonlinear Neumann Boundary ConditionZhong Bo Fang0Yan Chai1School of Mathematical Sciences, Ocean University of China, Qingdao 266100, ChinaSchool of Mathematical Sciences, Ocean University of China, Qingdao 266100, ChinaWe investigate an initial-boundary value problem for a quasilinear parabolic equation with inner absorption and nonlinear Neumann boundary condition. We establish, respectively, the conditions on nonlinearity to guarantee that u(x,t) exists globally or blows up at some finite time t*. Moreover, an upper bound for t* is derived. Under somewhat more restrictive conditions, a lower bound for t* is also obtained.http://dx.doi.org/10.1155/2014/289245 |
| spellingShingle | Zhong Bo Fang Yan Chai Blow-Up Analysis for a Quasilinear Parabolic Equation with Inner Absorption and Nonlinear Neumann Boundary Condition Abstract and Applied Analysis |
| title | Blow-Up Analysis for a Quasilinear Parabolic Equation with Inner Absorption and Nonlinear Neumann Boundary Condition |
| title_full | Blow-Up Analysis for a Quasilinear Parabolic Equation with Inner Absorption and Nonlinear Neumann Boundary Condition |
| title_fullStr | Blow-Up Analysis for a Quasilinear Parabolic Equation with Inner Absorption and Nonlinear Neumann Boundary Condition |
| title_full_unstemmed | Blow-Up Analysis for a Quasilinear Parabolic Equation with Inner Absorption and Nonlinear Neumann Boundary Condition |
| title_short | Blow-Up Analysis for a Quasilinear Parabolic Equation with Inner Absorption and Nonlinear Neumann Boundary Condition |
| title_sort | blow up analysis for a quasilinear parabolic equation with inner absorption and nonlinear neumann boundary condition |
| url | http://dx.doi.org/10.1155/2014/289245 |
| work_keys_str_mv | AT zhongbofang blowupanalysisforaquasilinearparabolicequationwithinnerabsorptionandnonlinearneumannboundarycondition AT yanchai blowupanalysisforaquasilinearparabolicequationwithinnerabsorptionandnonlinearneumannboundarycondition |