Characteristic boundary value problems: estimates from H1 to L2
Analysis of PDEs
2013-09-26 v1
Abstract
Motivated by the study of certain non linear free-boundary value problems for hyperbolic systems of partial differential equations arising in Magneto-Hydrodynamics, in this paper we show that an a priori estimate of the solution to certain boundary value problems, in the conormal Sobolev space H1_tan, can be transformed into an L2 a priori estimate of the same problem.
Keywords
Cite
@article{arxiv.1309.6448,
title = {Characteristic boundary value problems: estimates from H1 to L2},
author = {Alessandro Morando and Paolo Secchi and Paola Trebeschi},
journal= {arXiv preprint arXiv:1309.6448},
year = {2013}
}