Properties of solutions for a reaction–diffusion equation with nonlinear absorption and nonlinear nonlocal Neumann boundary condition
Abstract In this paper, the authors consider the reaction–diffusion equation with nonlinear absorption and nonlinear nonlocal Neumann boundary condition. They prove that the solution either exists globally or blows up in finite time depending on the initial data, the weighting function on the border...
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SpringerOpen
2018-09-01
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| Series: | Boundary Value Problems |
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| Online Access: | http://link.springer.com/article/10.1186/s13661-018-1069-9 |
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doaj-94ed441141a24d30aa2af393e2df6fdd2020-11-25T01:29:11ZengSpringerOpenBoundary Value Problems1687-27702018-09-012018111410.1186/s13661-018-1069-9Properties of solutions for a reaction–diffusion equation with nonlinear absorption and nonlinear nonlocal Neumann boundary conditionJian Wang0Hui Yang1School of Mathematical Sciences, Ocean University of ChinaSchool of Mathematical Sciences, Ocean University of ChinaAbstract In this paper, the authors consider the reaction–diffusion equation with nonlinear absorption and nonlinear nonlocal Neumann boundary condition. They prove that the solution either exists globally or blows up in finite time depending on the initial data, the weighting function on the border, and nonlinear indexes in the equation by using the comparison principle.http://link.springer.com/article/10.1186/s13661-018-1069-9Reaction-diffusion equationGlobal existenceNonlinear absorptionBlow-upNeumann boundary condition |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Jian Wang Hui Yang |
| spellingShingle |
Jian Wang Hui Yang Properties of solutions for a reaction–diffusion equation with nonlinear absorption and nonlinear nonlocal Neumann boundary condition Boundary Value Problems Reaction-diffusion equation Global existence Nonlinear absorption Blow-up Neumann boundary condition |
| author_facet |
Jian Wang Hui Yang |
| author_sort |
Jian Wang |
| title |
Properties of solutions for a reaction–diffusion equation with nonlinear absorption and nonlinear nonlocal Neumann boundary condition |
| title_short |
Properties of solutions for a reaction–diffusion equation with nonlinear absorption and nonlinear nonlocal Neumann boundary condition |
| title_full |
Properties of solutions for a reaction–diffusion equation with nonlinear absorption and nonlinear nonlocal Neumann boundary condition |
| title_fullStr |
Properties of solutions for a reaction–diffusion equation with nonlinear absorption and nonlinear nonlocal Neumann boundary condition |
| title_full_unstemmed |
Properties of solutions for a reaction–diffusion equation with nonlinear absorption and nonlinear nonlocal Neumann boundary condition |
| title_sort |
properties of solutions for a reaction–diffusion equation with nonlinear absorption and nonlinear nonlocal neumann boundary condition |
| publisher |
SpringerOpen |
| series |
Boundary Value Problems |
| issn |
1687-2770 |
| publishDate |
2018-09-01 |
| description |
Abstract In this paper, the authors consider the reaction–diffusion equation with nonlinear absorption and nonlinear nonlocal Neumann boundary condition. They prove that the solution either exists globally or blows up in finite time depending on the initial data, the weighting function on the border, and nonlinear indexes in the equation by using the comparison principle. |
| topic |
Reaction-diffusion equation Global existence Nonlinear absorption Blow-up Neumann boundary condition |
| url |
http://link.springer.com/article/10.1186/s13661-018-1069-9 |
| work_keys_str_mv |
AT jianwang propertiesofsolutionsforareactiondiffusionequationwithnonlinearabsorptionandnonlinearnonlocalneumannboundarycondition AT huiyang propertiesofsolutionsforareactiondiffusionequationwithnonlinearabsorptionandnonlinearnonlocalneumannboundarycondition |
| _version_ |
1725097995416895488 |