Semilinear hypoelliptic differential operators with multiple characteristics

DOI10.1090/S0002-9947-08-04443-7zbMath1151.35014OpenAlexW2049780192MaRDI QIDQ3508043

Nguyen Minh Tri

Publication date: 27 June 2008

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-08-04443-7

zbMATH Keywords

hypoelliptic regularitypolynomial operators constructed from real vector fields

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Fundamental solutions to PDEs (35A08) A priori estimates in context of PDEs (35B45) Hypoelliptic equations (35H10)

Related Items (5)

Fourier transform and smoothness of solutions of a class of semilinear elliptic degenerate equations with double characteristics ⋮ Analyticity of solutions of semi-linear equations with double characteristics ⋮ Hypoellipticity of certain infinitely degenerate second order operators ⋮ On the analyticity of solutions to semilinear differential equations degenerated on a submanifold ⋮ Existence and non-existence of solutions for semilinear bi-\(\Delta_{\gamma}\)-Laplace equation

Cites Work

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• Hypoelliptic differential operators and nilpotent groups
• Analyticity of solutions of semi-linear equations with double characteristics
• Hypoellipticity and loss of derivatives
• Hypoelliptic second order differential equations
• Interior estimates for elliptic systems of partial differential equations
• On Classes of Solutions of Elliptic Linear Partial Differential Equations
• Regularity for quasilinear second‐order subelliptic equations
• Applications of analysis on nilpotent groups to partial differential equations

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