BoundedH∞-calculus for pseudo-differential Douglis-Nirenberg systems of mild regularity

DOI10.1002/mana.200810743zbMath1178.35394arXiv0801.3748OpenAlexW2144347317MaRDI QIDQ3616476

Jürgen Saal, Robert Denk, Joerg Seiler

Publication date: 25 March 2009

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

Full work available at URL: https://arxiv.org/abs/0801.3748

zbMATH Keywords

Newton polygonelliptic systemssemigroup theorypseudo-differential operatorsDouglis-Nirenberg systems

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Pseudodifferential operators (47G30)

Related Items (6)

Resolvent estimates for Douglis-Nirenberg systems ⋮ On the maximal \(L _{p }\)-regularity of parabolic mixed-order systems ⋮ Fredholm and regularity theory of Douglis-Nirenberg elliptic systems on \({\mathbb{R}}^{N}\) ⋮ $H_\infty $-calculus for hypoelliptic pseudodifferential operators ⋮ Inhomogeneous Boundary Value Problems in Spaces of Higher Regularity ⋮ Bounded \(H_\infty\)-calculus for boundary value problems on manifolds with conical singularities

Cites Work

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• Bounded $H_\infty $-calculus for pseudodifferential operators and applications to the Dirichlet-Neumann operator
• The Newton Polygon and Elliptic Problems with Parameter
• Asymptotics of the Spectrum of Douglis - Nirenberg Elliptic Operators on a Compact Manifold

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