Parametrix construction for a class of subelliptic differential operators

DOI10.1215/S0012-7094-91-06314-3zbMath0777.35002OpenAlexW1496055353MaRDI QIDQ1179168

Hart F. Smith

Publication date: 26 June 1992

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-91-06314-3

zbMATH Keywords

regularitySobolev spacesparametrixpseudo-differential operatorsprincipal symbolsubellipticitysecond order partial differential operators

Mathematics Subject Classification ID

Related Items (6)

\(L^ p\) estimates for Schrödinger operators with certain potentials ⋮ On weighted compactness of commutator of semi-group maximal function and fractional integrals associated to Schrödinger operators ⋮ On weighted compactness of commutators of square function and semi-group maximal function associated to Schrödinger operators ⋮ Counting eigenvalues of Schrödinger operators using the landscape function ⋮ \(L^p\) estimates for the Schrödinger type operators ⋮ Parametrix construction for a class of anisotropic operators

Cites Work

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• Fundamental solutions for second order subelliptic operators
• Weighted distribution spaces and pseudodifferential operators
• Hypoelliptic differential operators and nilpotent groups
• \(L^p\) and Hölder estimates for pseudodifferential operators: sufficient conditions
• Analyse harmonique non-commutative sur certains espaces homogènes. Etude de certaines intégrales singulières. (Non-commutative harmonic analysis on certain homogeneous spaces. Study of certain singular integrals.)
• The uncertainty principle
• Lectures on Pseudo-Differential Operators: Regularity Theorems and Applications to Non-Elliptic Problems. (MN-24)
• The subelliptic oblique derivative problem

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