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Viscosity method for random homogenization of fully nonlinear elliptic equations with highly oscillating obstacles
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Lee, Ki-Ahm | - |
dc.contributor.author | Lee, Se-Chan | - |
dc.date.accessioned | 2022-10-07T01:43:09Z | - |
dc.date.available | 2022-10-07T01:43:09Z | - |
dc.date.created | 2022-09-20 | - |
dc.date.issued | 2022-09 | - |
dc.identifier.citation | Advances in Nonlinear Analysis, Vol.12 No.1, pp.266-303 | - |
dc.identifier.issn | 2191-9496 | - |
dc.identifier.uri | https://hdl.handle.net/10371/185590 | - |
dc.description.abstract | In this article, we establish a viscosity method for random homogenization of an obstacle problem with nondivergence structure. We study the asymptotic behavior of the viscosity solution u(epsilon) of fully non-linear equations in a perforated domain with the stationary ergodic condition. By capturing the behavior of the homogeneous solution, analyzing the characters of the corresponding obstacle problem, and finding the capacity-like quantity through the construction of appropriate barriers, we prove that the limit profile u of u(epsilon) satisfies a homogenized equation without obstacles. | - |
dc.language | 영어 | - |
dc.publisher | WALTER DE GRUYTER GMBH | - |
dc.title | Viscosity method for random homogenization of fully nonlinear elliptic equations with highly oscillating obstacles | - |
dc.type | Article | - |
dc.identifier.doi | 10.1515/anona-2022-0273 | - |
dc.citation.journaltitle | Advances in Nonlinear Analysis | - |
dc.identifier.wosid | 000851222200001 | - |
dc.citation.endpage | 303 | - |
dc.citation.number | 1 | - |
dc.citation.startpage | 266 | - |
dc.citation.volume | 12 | - |
dc.description.isOpenAccess | N | - |
dc.contributor.affiliatedAuthor | Lee, Ki-Ahm | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
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