Liouville-type theorems for some complex hypoelliptic operators

DOI10.1016/0022-1236(85)90045-XzbMath0567.35017MaRDI QIDQ1059774

Nancy K. Stanton, Adam Korányi

Publication date: 1985

Published in: Journal of Functional Analysis (Search for Journal in Brave)

zbMATH Keywords

heat equationHeisenberg groupfundamental solutionLiouville's theoremcomplex hypoelliptic operatorsnon-constant bounded solution

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Fundamental solutions to PDEs (35A08) Heat equation (35K05) Hypoelliptic equations (35H10)

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Cites Work

• Kelvin transforms and harmonic polynomials on the Heisenberg group
• The heat equation for the d-Neumann problem in a strictly pseudoconvex Siegel domain
• The solution of the (partial d)-Neumann problem in a strictly pseudoconvex Siegel domain
• Principe du maximum, inégalité de Harnack et unicité du problème de Cauchy pour les opérateurs elliptiques dégénérées
• Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group