Invertibility for a class of degenerate elliptic operators

DOI10.1007/S11868-010-0003-4zbMath1205.35122OpenAlexW2063487706MaRDI QIDQ611971

Julio Delgado, Alex M. Zamudio

Publication date: 15 December 2010

Published in: Journal of Pseudo-Differential Operators and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11868-010-0003-4

zbMATH Keywords

microlocal analysisdegenerate elliptic operatorsnonhomogeneous calculus

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Fundamental solutions to PDEs (35A08) Degenerate elliptic equations (35J70) Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27) Pseudodifferential operators (47G30)

Related Items (4)

On a class of hyperbolic equations in Weyl-Hörmander calculus ⋮ On the well-posedness for a class of pseudo-differential parabolic equations ⋮ Sobolev embeddings for a class of pseudodifferential operators ⋮ A class of invertible subelliptic operators in \(S(m,g)\)-classes

Cites Work

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• Transversally elliptic operators
• \(L^p\)-estimates for a class of pseudodifferential operators in the framework of the Weyl-Hörmander calculus
• Weyl transforms
• Green's functions for some highly degenerate elliptic operators
• Weyl calculus and subelliptic operators
• Weyl transforms, the heat kernel and Green function of a degenerate elliptic operator
• On positivity of pseudo-differential operators
• Quantification asymptotique et microlocalisations d'ordre supérieur. I
• Weyl transforms and a degenerate elliptic partial differential equation

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