Local solvability of a class of degenerate second order operators

DOI10.1080/03605302.2015.1123273zbMath1348.35055OpenAlexW2883372242MaRDI QIDQ2810606

Alberto Parmeggiani, Serena Federico

Publication date: 3 June 2016

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://biblio.ugent.be/publication/8621447/file/8621448

zbMATH Keywords

a priori estimateslocal solvabilitydegenerate second order operatorsloss of derivativecomplex-valued vector fields

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for linear higher-order PDEs (35G10)

Related Items (7)

On the Solvability of Certain Degenerate Partial Differential Operators ⋮ Local Solvability of a Class of Degenerate Second Order Operators ⋮ A model of solvable second order PDE with non-smooth coefficients ⋮ Local solvability of some partial differential operators with non-smooth coefficients ⋮ On the local solvability of a class of degenerate second order operators with complex coefficients ⋮ On the Solvability of a Class of Second Order Degenerate Operators ⋮ Sufficient conditions for local solvability of some degenerate pdo with complex subprincipal symbol

Cites Work

• Hypoellipticity of a second order operator with a principal symbol changing sign across a smooth hypersurface
• Local solvability for a class of evolution equations
• A necessary condition for local solvability for a class of operators with double characteristics
• Parametrices for a class of pseudo differential operators. I
• Analysis of the Kohn Laplacian on quadratic CR manifolds.
• Solvability for a class of doubly characteristic differential operators on 2-step nilpotent groups
• The resolution of the Nirenberg-Treves conjecture

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