|
|||
Current volumePast volumes
1952-1968
1944-1951
1936-1944 |
Local solvability of elliptic equations of even order with Hölder coefficients
Volume 61, no. 1
(2020),
pp. 1–47
https://doi.org/10.33044/revuma.v61n1a01
Abstract
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.
|
||
|
Published by the Unión Matemática Argentina |
|||