The leading term of the spectral asymptotics for the Kohn-Laplace operator in a bounded domain

DOI10.1007/BF02314623zbMath0921.35117OpenAlexW2080116939MaRDI QIDQ1290786

Yury A. Alkhutov, Vasilii V. Jikov

Publication date: 6 October 1999

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

Full work available at URL: https://doi.org/10.1007/bf02314623

zbMATH Keywords

Tauberian theoremWeyl asymptotic formulaestimates of the Green function

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Asymptotic expansions of solutions to PDEs (35C20) Elliptic equations on manifolds, general theory (58J05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Cites Work

• Hypoelliptic second order differential equations
• Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group
• Some Properties of the Eigenfunctions of The Laplace-Operator on Riemannian Manifolds
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