Local solvability of elliptic equations of even order with Hölder coefficients

We 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 th...

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Autores principales: Muschietti, María Amelia, Tournier, Federico
Formato: Articulo
Lenguaje:Inglés
Publicado: 2020
Materias:
Matemática
Higher order elliptic equations
A priori estimates
Hölder coefficients
Boundary estimates
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/156340
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-156340
record_format dspace
spelling I19-R120-10915-1563402023-08-16T04:06:06Z http://sedici.unlp.edu.ar/handle/10915/156340 Local solvability of elliptic equations of even order with Hölder coefficients Muschietti, María Amelia Tournier, Federico 2020 2023-08-15T15:08:46Z en Matemática Higher order elliptic equations A priori estimates Hölder coefficients Boundary estimates We 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. Facultad de Ciencias Exactas Articulo Articulo http://creativecommons.org/licenses/by/4.0/ Creative Commons Attribution 4.0 International (CC BY 4.0) application/pdf 1-47
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Matemática
Higher order elliptic equations
A priori estimates
Hölder coefficients
Boundary estimates
spellingShingle Matemática
Higher order elliptic equations
A priori estimates
Hölder coefficients
Boundary estimates
Muschietti, María Amelia
Tournier, Federico
Local solvability of elliptic equations of even order with Hölder coefficients
topic_facet Matemática
Higher order elliptic equations
A priori estimates
Hölder coefficients
Boundary estimates
description We 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.
format Articulo
Articulo
author Muschietti, María Amelia
Tournier, Federico
author_facet Muschietti, María Amelia
Tournier, Federico
author_sort Muschietti, María Amelia
title Local solvability of elliptic equations of even order with Hölder coefficients
title_short Local solvability of elliptic equations of even order with Hölder coefficients
title_full Local solvability of elliptic equations of even order with Hölder coefficients
title_fullStr Local solvability of elliptic equations of even order with Hölder coefficients
title_full_unstemmed Local solvability of elliptic equations of even order with Hölder coefficients
title_sort local solvability of elliptic equations of even order with hölder coefficients
publishDate 2020
url http://sedici.unlp.edu.ar/handle/10915/156340
work_keys_str_mv AT muschiettimariaamelia localsolvabilityofellipticequationsofevenorderwithholdercoefficients
AT tournierfederico localsolvabilityofellipticequationsofevenorderwithholdercoefficients
_version_ 1807220985906069504

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