The \(\square_B\)-heat equation on CR manifolds of finite type with comparable Levi forms

DOI10.1007/s11253-019-01710-yzbMath1505.32056OpenAlexW2998603459MaRDI QIDQ2100600

Ly Kim Ha

Publication date: 24 November 2022

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-019-01710-y

zbMATH Keywords

\(\square_b\)-heat equationCR manifolds of finite type

Mathematics Subject Classification ID

Extension of functions and other analytic objects from CR manifolds (32V25) Finite-type conditions on CR manifolds (32V35) (overlinepartial_b) and (overlinepartial_b)-Neumann operators (32W10)

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Certain Contributions to the $$\bar {\partial }$$ -Problem

Cites Work

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• The heat equation on a CR manifold
• Balls and metrics defined by vector fields. I: Basic properties
• Hypoelliptic second order differential equations
• On maximal Sobolev and Holder estimates for the tangential Cauchy-Riemann operator and boundary Laplacian
• Regularity Properties of the ∂ b Equation on Weakly Pseudoconvex CR Manifolds of Dimension 3
• The \(\square_b\)-heat equation on pseudoconvex manifolds of finite type in \(\mathbb{C}^2\)