Fredholm and regularity theory of Douglis-Nirenberg elliptic systems on \({\mathbb{R}}^{N}\)

DOI10.1007/s00209-010-0802-6zbMath1236.47043OpenAlexW2010461089MaRDI QIDQ663258

Patrick J. Rabier

Publication date: 14 February 2012

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-010-0802-6

zbMATH Keywords

regularitySobolev spacesFredholm operatorindexelliptic system

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) General theory of partial differential operators (47F05) (Semi-) Fredholm operators; index theories (47A53) Higher-order elliptic systems (35J48)

Related Items

Douglis-Nirenberg elliptic systems in Hörmander spaces ⋮ Essential spectrum of elliptic systems of pseudo-differential operators on \(L^2(\mathbb {R}^N) \oplus L^2(\mathbb {R}^N)\) ⋮ Fredholm theory for an elliptic differential operator defined on \(\mathbb{R}^n\) and acting on generalized Sobolev spaces ⋮ Elliptic problems for a Douglis–Nirenberg system over ℝⁿ and over an exterior subregion

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