Local solvability of elliptic equations of even order with Holder coefficients

dc.creatorMuschietti, Maria Amelia
dc.creatorTournier, Federico
dc.date.accessioned2020-06-24T20:40:01Z
dc.date.accessioned2022-10-15T04:46:09Z
dc.date.available2020-06-24T20:40:01Z
dc.date.available2022-10-15T04:46:09Z
dc.date.created2020-06-24T20:40:01Z
dc.date.issued2020-02
dc.identifierMuschietti, Maria Amelia; Tournier, Federico; Local solvability of elliptic equations of even order with Holder coefficients; Unión Matemática Argentina; Revista de la Unión Matemática Argentina; 61; 1; 2-2020; 1-47
dc.identifier0041-6932
dc.identifierhttp://hdl.handle.net/11336/108149
dc.identifier1669-9637
dc.identifierCONICET Digital
dc.identifierCONICET
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/4346447
dc.description.abstractWe consider elliptic equations of order 2m with Hölder coefficients. We show local solvability of the Dirichlet problem with m conditions on the boundary of the upper half space. First we consider local solvability in free space and then we treat the boundary case. Our method is based on applying the operator to an approximate solution and iterating in the Hölder spaces. A priori estimates for the approximate solution is the essential part of the paper.
dc.languageeng
dc.publisherUnión Matemática Argentina
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://inmabb.criba.edu.ar/revuma/revuma.php?p=doi/v61n1a01
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/https://doi.org/10.33044/revuma.v61n1a01
dc.rightshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectHIGHER ORDER ELLIPTIC EQUATIONS
dc.subjectA PRIORI ESTIMATES
dc.subjectHOLDER COEFFICIENTS
dc.subjectBOUNDARY ESTIMATES
dc.titleLocal solvability of elliptic equations of even order with Holder coefficients
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:ar-repo/semantics/artículo
dc.typeinfo:eu-repo/semantics/publishedVersion


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