In this paper, we give necessary and sufficient conditions on the compatibility of a kth-order homogeneous linear elliptic differential operator and differential constraint for solutions to
to satisfy the estimates
for and
when .
Dans cet article, nous donnons des conditions nécessaires et suffisantes sur la compatibilité d'un opérateur différentiel elliptique linéaire homogène d'ordre k et d'une contrainte différentielle pour que les solutions de
vérifient les inégalités
Accepted:
Published online:
@article{CRMATH_2019__357_11-12_851_0, author = {Raita, Bogdan and Spector, Daniel}, title = {A note on estimates for elliptic systems with {\protect\emph{L}\protect\textsuperscript{1}} data}, journal = {Comptes Rendus. Math\'ematique}, pages = {851--857}, publisher = {Elsevier}, volume = {357}, number = {11-12}, year = {2019}, doi = {10.1016/j.crma.2019.11.007}, language = {en}, url = {http://archive.numdam.org/articles/10.1016/j.crma.2019.11.007/} }
TY - JOUR AU - Raita, Bogdan AU - Spector, Daniel TI - A note on estimates for elliptic systems with L1 data JO - Comptes Rendus. Mathématique PY - 2019 SP - 851 EP - 857 VL - 357 IS - 11-12 PB - Elsevier UR - http://archive.numdam.org/articles/10.1016/j.crma.2019.11.007/ DO - 10.1016/j.crma.2019.11.007 LA - en ID - CRMATH_2019__357_11-12_851_0 ER -
%0 Journal Article %A Raita, Bogdan %A Spector, Daniel %T A note on estimates for elliptic systems with L1 data %J Comptes Rendus. Mathématique %D 2019 %P 851-857 %V 357 %N 11-12 %I Elsevier %U http://archive.numdam.org/articles/10.1016/j.crma.2019.11.007/ %R 10.1016/j.crma.2019.11.007 %G en %F CRMATH_2019__357_11-12_851_0
Raita, Bogdan; Spector, Daniel. A note on estimates for elliptic systems with L1 data. Comptes Rendus. Mathématique, Volume 357 (2019) no. 11-12, pp. 851-857. doi : 10.1016/j.crma.2019.11.007. http://archive.numdam.org/articles/10.1016/j.crma.2019.11.007/
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