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New interpretation of elliptic Boundary value problems via invariant embedding approach and Yosida regularization.

dc.creatorBouarroudj, Nadra
dc.creatorBelaib, Lekhmissi
dc.creatorMessirdi, Bekkai
dc.date2018-11-22
dc.date.accessioned2019-11-14T12:01:17Z
dc.date.available2019-11-14T12:01:17Z
dc.identifierhttps://www.revistaproyecciones.cl/article/view/3278
dc.identifier.urihttps://revistaschilenas.uchile.cl/handle/2250/113668
dc.descriptionThe method of invariant embedding for the solutions of boundary value problems yields an equivalent formulation to the initial boundary value problems by a system of Riccati operator differential equations. A combined technique based on invariant embedding approach and Yosida regularization is proposed in this paper for solving abstract Riccati problems and Dirichlet problems for the Poisson equation over a circular domain. We exhibit, in polar coordinates, the associated Neumann to Dirichlet operator, somme concrete properties of this operator are given. It also comes that from the existence of a solution for the corresponding Riccati equation, the problem can be solved in appropriate Sobolev spaces.en-US
dc.formatapplication/pdf
dc.languageeng
dc.publisherUniversidad Católica del Norte.es-ES
dc.relationhttps://www.revistaproyecciones.cl/article/view/3278/3016
dc.rightsDerechos de autor 2018 Proyecciones. Journal of Mathematicses-ES
dc.rightshttps://creativecommons.org/licenses/by-nc/4.0/es-ES
dc.sourceProyecciones. Journal of Mathematics; Vol 37 No 4 (2018); 749-764en-US
dc.sourceProyecciones. Revista de Matemática; Vol. 37 Núm. 4 (2018); 749-764es-ES
dc.source0717-6279
dc.source0716-0917
dc.subjectElliptic boundary value problemsen-US
dc.subjectInvariant embedding methoden-US
dc.subjectRiccati operator differential equationsen-US
dc.subjectYosida regularizationen-US
dc.subjectNeumann to Dirichlet operatoren-US
dc.titleNew interpretation of elliptic Boundary value problems via invariant embedding approach and Yosida regularization.en-US
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion
dc.typeArtículo revisado por pareses-ES


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