Fortsetzung von Randwerten zu hypoelliptischen Differentialoperatoren und partielle Differentialgleichungen.

DOI10.1515/crll.1979.311-312.57zbMath0411.35027OpenAlexW4232591582MaRDI QIDQ4199154

Michael Langenbruch

Publication date: 1979

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://www.digizeitschriften.de/dms/resolveppn/?PPN=GDZPPN002196565

zbMATH Keywords

existence theoremsconstant coefficientsultradistributionsboundary valuescontinuationhypoelliptic differential operatorsGevrey-classtestfunction-space of nullsolutionsWeyl-Lemma

Mathematics Subject Classification ID

Continuation and prolongation of solutions to PDEs (35B60) Hypoelliptic equations (35H10)

Related Items (8)

Fundamental solutions with partially bounded support ⋮ Iterates and hypoellipticity of partial differential operators on non-quasianalytic classes ⋮ A characterization of the wave front set defined by the iterates of an operator with constant coefficients ⋮ A simple proof of Kotake-Narasimhan theorem in some classes of ultradifferentiable functions ⋮ Boundary values of zero solutions of hypoelliptic differential operators in ultradistribution spaces ⋮ Wave front sets with respect to the iterates of an operator with constant coefficients ⋮ P-Funktionale und Randwerte zu hypoelliptischen Differentialoperatoren ⋮ Vector valued hyperfunctions and boundary values of vector valued harmonic and holomorphic functions

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