On $L^2$ Solvability of BVPs for elliptic systems
type: Dataset
description: In this article we prove solvability results for $L^2$ boundary value problems of some elliptic systems $Lu=0$ on the upper half-space $\R^{n+1}_{+}, n\ge 1$, with transversally independent coefficients. We use the first order formalism introduced by Auscher-Axelsson-McIntosh and further developed with a better understanding of the classes of solutions in the subsequent work of Auscher-Axelsson. The interesting fact is that we prove only half of the Rellich boundary inequality without knowing the other half.
landing page: 1069-5869
keyword: 35j55-35j25-42b25-42b37
keyword: dirichlet-and-neumann-problems
keyword: elliptic-systems
keyword: infoeu-reposemanticsarticle
keyword: journal-articles
keyword: mathmath-apmathematics-mathanalysis-of-pdes-mathap
keyword: mathmath-camathematics-mathclassical-analysis-and-odes-mathca
keyword: mathmath-famathematics-mathfunctional-analysis-mathfa
keyword: non-tangential-maximal-functions
keyword: square-functions
keyword: tb-theorems
keyword: variational-solutions
issued: 2026-05-30T18:32:30.182051
modified: 2026-05-30T18:32:30.182059
language: en
contact point: Organization
  fn: CCSD

test_moissonnage_selune
type: Agent

On $L^2$ Solvability of BVPs for elliptic systems
type: Distribution
format: HTML
access URL: https://hal.science/hal-00765844
issued: 2026-05-30T18:32:30.206115
modified: 2026-05-30T18:32:30.128389