Abstract
In this paper, we give necessary and sufficient conditions on the compatibility of a kth-order homogeneous linear elliptic differential operator A and differential constraint C for solutions to Au=fsubject toCf=0 in Rn to satisfy the estimates ‖Dk−ju‖L [Formula presented] (Rn)⩽c‖f‖L1(Rn) for j∈{1,…,min{k,n−1}} and ‖Dk−nu‖L∞(Rn)⩽c‖f‖L1(Rn) when k≥n.
Translated title of the contribution | A note on estimates for elliptic systems with L1 data |
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Original language | French |
Pages (from-to) | 851-857 |
Number of pages | 7 |
Journal | Comptes Rendus Mathematique |
Volume | 357 |
Issue number | 11-12 |
DOIs | |
Publication status | Published - 2019 Nov 1 |
Externally published | Yes |
ASJC Scopus subject areas
- Mathematics(all)