On the Solvability of a Class of Second Order Degenerate Operators

DOI10.1007/978-3-030-36138-9_13zbMath1442.35005OpenAlexW3010137810MaRDI QIDQ3295288

Alberto Parmeggiani, Serena Federico

Publication date: 8 July 2020

Published in: Applied and Numerical Harmonic Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-36138-9_13

zbMATH Keywords

local solvabilityadjoint of the Kannai operator

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A model of solvable second order PDE with non-smooth coefficients
• Solvability and limit bicharacteristics
• Operators of subprincipal type
• Shocks, singularities and oscillations in nonlinear optics and fluid mechanics. Papers based on the workshop, Rome, Italy, September 2015
• 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
• Propagation of singularities and semi-global existence theorems for (pseudo-)differential operators of principal type
• Parametrices for a class of pseudo differential operators. II
• Analysis of the Kohn Laplacian on quadratic CR manifolds.
• On a question of Louis Nirenberg
• Solvability for a class of doubly characteristic differential operators on 2-step nilpotent groups
• Solvability for a class of non-homogeneous differential operators on two-step nilpotent groups
• When is a pseudo-differential equation solvable ?
• Sufficient conditions for local solvability of some degenerate pdo with complex subprincipal symbol
• Local solvability of linear differential operators with double characteristics. I: Necessary conditions
• An unsolvable hypoelliptic differential operator
• Fourier integral operators. II
• Local solvability of a class of degenerate second order operators
• On the Solvability of a Class of ψdos with Multiple Characteristics
• LOCAL SOLVABILITY OF PSEUDODIFFERENTIAL OPERATORS WITH CHARACTERISTICS OF SECOND MULTIPLICITY
• Unpublished Manuscripts
• On the local solvability of a class of degenerate second order operators with complex coefficients
• Loss of Derivatives
• Local Solvability of a Class of Degenerate Second Order Operators
• Local solvability of linear differential operators with double characteristics II: Sufficient conditions for left-invariant differential operators of order two on the Heisenberg group