A note on estimates for elliptic systems with L1 data

Bogdan Raita, Daniel Spector

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1 Citation (Scopus)


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.

Original languageEnglish
Pages (from-to)851-857
Number of pages7
JournalComptes Rendus Mathematique
Issue number11-12
Publication statusPublished - 2019 Nov 1
Externally publishedYes

ASJC Scopus subject areas

  • General Mathematics


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