An Efficient Abstract Method For The Study of An Initial Boundary Value Problem On Singular Domain
Functional Analysis
2018-09-10 v1
Abstract
The present work is devoted to the study of a boundary value problem for second order linear differential equation set on singular cylindrical domain. This problem can be regarded via a natural change of variables as an elliptic abstract differential equation with variable operators coefficients subject to some anti-periodic conditions. The complete study of this abstract version allows us to establish some interesting regularity results for our problem. The study is performed in the framework of H\"{o}lder spaces.
Keywords
Cite
@article{arxiv.1809.02545,
title = {An Efficient Abstract Method For The Study of An Initial Boundary Value Problem On Singular Domain},
author = {Belkacem Chaouchi and Marko Kostic},
journal= {arXiv preprint arXiv:1809.02545},
year = {2018}
}