Uniform hypoelliptic Green's functions

DOI10.1016/S0021-7824(98)80069-XzbMath0915.35029WikidataQ127982022 ScholiaQ127982022MaRDI QIDQ1128298

Bernard Gaveau, Richard W. Beals, Peter C. Greiner

Publication date: 23 June 1999

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

zbMATH Keywords

CR manifoldsexplicit fundamental solutiongroup symmetry of the equationsubelliptic operators with polynomially growing coefficients

Mathematics Subject Classification ID

Fundamental solutions to PDEs (35A08) Hypoelliptic equations (35H10) Representations of solutions to partial differential equations (35C99) Subelliptic equations (35H20)

Related Items

Doubly Nonlinear Degenerate Parabolic Equations with a Singular Potential for Greiner Vector Fields ⋮ A general approach to weighted \(L^{p}\) Rellich type inequalities related to Greiner operator ⋮ Global estimates for the fundamental solution of homogeneous Hörmander operators ⋮ Rellich type inequalities related to Grushin type operators and Greiner type operators ⋮ Weighted Rellich inequality on \(H\)-type groups and nonisotropic Heisenberg groups ⋮ Liouville results for fully nonlinear equations modeled on Hörmander vector fields. II: Carnot groups and Grushin geometries ⋮ General weighted Hardy-type inequalities related to Greiner operators ⋮ Transversally elliptic operators ⋮ Hardy-type inequalities and Pohozaev-type identities for a class of \(p\)-degenerate subelliptic operators and applications. ⋮ On the nonexistence of positive solutions to nonlinear degenerate parabolic equations with singular coefficients ⋮ Green's functions for some highly degenerate elliptic operators

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Hypoelliptic differential operators and nilpotent groups
• Least action principle, heat propagation and subelliptic estimates on certain nilpotent groups
• Complex Hamiltonian mechanics and parametrices for subelliptic Laplacians. III
• Hypoelliptic second order differential equations
• A Fundamental Solution for a Nonelliptic Partial Differential Operator
• Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group
• Explicit Formulas for the Szego Kernel on Certain Weakly Pseudoconvex Domains
• On a Geometric Formula for the Fundamental Solution of Subelliptic Laplacians
• The Neumann Problem for the Cauchy-Riemann Complex. (AM-75)
• A fundamental solution for a subelliptic operator
• A note on the Bergman kernel