Boundary estimates for elliptic systems with L1–data

Haïm Brezis; Jean Van Schaftingen

doi:10.1007/s00526-007-0094-9

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Boundary estimates for elliptic systems with L1–data

Journal article

Peer reviewed

Boundary estimates for elliptic systems with L1–data

Haïm Brezis and Jean Van Schaftingen

Calculus of variations and partial differential equations, Vol.30(3), pp.369-388

11/2007

DOI: https://doi.org/10.1007/s00526-007-0094-9

Abstract

35J25 (26D15, 35F05)

Analysis

Calculus of Variations and Optimal Control; Optimization

Mathematical and Computational Physics

Mathematics

Systems Theory, Control

We obtain boundary estimates for the gradient of solutions to elliptic systems with Dirichlet or Neumann boundary conditions and L 1–data, under some condition on the divergence of the data. Similar boundary estimates are obtained for div–curl and Hodge systems.

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Details

Title: Boundary estimates for elliptic systems with L1–data
Creators: Haïm Brezis - Department of Mathematics, Hill Center, Busch Campus Rutgers University 110 Frelinghuysen Rd Piscataway NJ 08854 USA
Jean Van Schaftingen - Département de Mathématique Université catholique de Louvain Chemin du Cyclotron 2 1348 Louvain-la-Neuve Belgium
Publication Details: Calculus of variations and partial differential equations, Vol.30(3), pp.369-388
Date published: 11/2007
Publisher: Springer-Verlag
Academic Unit: Mathematics (SAS)
Language: English
Resource Type: Journal article
Identifiers: 991031666114204646