An endpoint Littlewood-Paley inequality for BVP associated with the Laplacian on Lipschitz domains.

@article{Auscher1999,
abstract = {We prove a commutator inequality of Littlewood-Paley type between partial derivatives and functions of the Laplacian on a Lipschitz domain which gives interior energy estimates for some BVP. It can be seen as an endpoint inequality for a family of energy estimates.},
author = {Auscher, Pascal, Tchamitchian, Philippe},
journal = {Publicacions Matemàtiques},
keywords = {Dominios de Lipschitz; Littlewood-Paley; Problemas de valor acotado; Problema de Dirichlet; commutator inequality of Littlewood-Paley type; energy estimates; Stefan problem},
language = {eng},
number = {2},
pages = {685-711},
title = {An endpoint Littlewood-Paley inequality for BVP associated with the Laplacian on Lipschitz domains.},
url = {http://eudml.org/doc/41381},
volume = {43},
year = {1999},
}

TY - JOUR
AU - Auscher, Pascal
AU - Tchamitchian, Philippe
TI - An endpoint Littlewood-Paley inequality for BVP associated with the Laplacian on Lipschitz domains.
JO - Publicacions Matemàtiques
PY - 1999
VL - 43
IS - 2
SP - 685
EP - 711
AB - We prove a commutator inequality of Littlewood-Paley type between partial derivatives and functions of the Laplacian on a Lipschitz domain which gives interior energy estimates for some BVP. It can be seen as an endpoint inequality for a family of energy estimates.
LA - eng
KW - Dominios de Lipschitz; Littlewood-Paley; Problemas de valor acotado; Problema de Dirichlet; commutator inequality of Littlewood-Paley type; energy estimates; Stefan problem
UR - http://eudml.org/doc/41381
ER -