On analytic microlocal hypoellipticity of linear partial differential operators of principal type

DOI10.1080/03605308608820474zbMath0622.35013OpenAlexW2033465652MaRDI QIDQ3759237

A. Alexandrou Himonas

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1080/03605308608820474

zbMATH Keywords

Poisson bracketprincipal symbolanalytic coefficientslinear partial differential operatoranalytic hypoelliptic

Mathematics Subject Classification ID

Microlocal methods and methods of sheaf theory and homological algebra applied to PDEs (35A27) Hypoelliptic equations (35H10)

Related Items

Analyticity and Smoothness for a Class of First Order Nonlinear PDEs ⋮ Semirigid partial differential operators and microlocal analytic hypoellipticity ⋮ Characterization of Gevrey Regularity by a Class of FBI Transforms ⋮ A Class of FBI Transforms ⋮ On microlocal analyticity and smoothness of solutions of first-order nonlinear PDEs ⋮ Existence of Gevrey approximate solutions for certain systems of linear vector fields applied to involutive systems of first-order nonlinear PDEs ⋮ On microlocal analyticity of solutions of first-order nonlinear PDE ⋮ On Certain Partial Differential Operators of Finite Odd Type

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