On the Convergence of Solutions for SPDEs under Perturbation of the Domain
We investigate the effect of domain perturbation on the behavior of mild solutions for a class of semilinear stochastic partial differential equations subject to the Dirichlet boundary condition. Under some assumptions, we obtain an estimate for the mild solutions under changes of the domain.
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2016-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2016/5425639 |
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| _version_ | 1849692494802976768 |
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| author | Zhongkai Guo Jicheng Liu Wenya Wang |
| author_facet | Zhongkai Guo Jicheng Liu Wenya Wang |
| author_sort | Zhongkai Guo |
| collection | DOAJ |
| description | We investigate the effect of domain perturbation on the behavior of mild solutions for a class of semilinear stochastic partial differential equations subject to the Dirichlet boundary condition. Under some assumptions, we obtain an estimate for the mild solutions under changes of the domain. |
| format | Article |
| id | doaj-art-ea66cfb8cc864641aef9ad2166b11a0d |
| institution | DOAJ |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-ea66cfb8cc864641aef9ad2166b11a0d2025-08-20T03:20:40ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2016-01-01201610.1155/2016/54256395425639On the Convergence of Solutions for SPDEs under Perturbation of the DomainZhongkai Guo0Jicheng Liu1Wenya Wang2School of Mathematics and Statistics, South-Central University for Nationalities, Wuhan 430074, ChinaSchool of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, ChinaSchool of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan 430074, ChinaWe investigate the effect of domain perturbation on the behavior of mild solutions for a class of semilinear stochastic partial differential equations subject to the Dirichlet boundary condition. Under some assumptions, we obtain an estimate for the mild solutions under changes of the domain.http://dx.doi.org/10.1155/2016/5425639 |
| spellingShingle | Zhongkai Guo Jicheng Liu Wenya Wang On the Convergence of Solutions for SPDEs under Perturbation of the Domain Discrete Dynamics in Nature and Society |
| title | On the Convergence of Solutions for SPDEs under Perturbation of the Domain |
| title_full | On the Convergence of Solutions for SPDEs under Perturbation of the Domain |
| title_fullStr | On the Convergence of Solutions for SPDEs under Perturbation of the Domain |
| title_full_unstemmed | On the Convergence of Solutions for SPDEs under Perturbation of the Domain |
| title_short | On the Convergence of Solutions for SPDEs under Perturbation of the Domain |
| title_sort | on the convergence of solutions for spdes under perturbation of the domain |
| url | http://dx.doi.org/10.1155/2016/5425639 |
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