Nonexstence of optimal L2estimates for the boundary laplacian operator on certain weakly pseudoconvex domains

DOI10.1080/03605308008820157zbMath0459.35024OpenAlexW1975935848MaRDI QIDQ3909369

Linda Preiss Rothschild

Publication date: 1980

Published in: Communications in Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03605308008820157

zbMATH Keywords

optimal estimatesweakly pseudoconvex domainsmaximal hypoellipticityboundary Laplacian operator

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Hypoelliptic equations (35H10)

Related Items (2)

Régularité optimale des solutions de systèmes différentiels et du Laplacian associé; application ⋮ Maximal hypoellipticity for the \(\overline{\partial}\)-Neumann problem

Cites Work

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• Subelliptic estimates and function spaces on nilpotent Lie groups
• Hypoelliptic differential operators and nilpotent groups
• Hypoelliptic second order differential equations
• UNITARY REPRESENTATIONS OF NILPOTENT LIE GROUPS
• Caracterisation des operateurs hypoelliptiques homogenes
• A criterion for hypoellipticity of operators constructed from vector fields
• Estimates for the \documentclass{article}\pagestyle{empty}\begin{document}$ \mathop \partial \limits^ - _b $\end{document} complex and analysis on the heisenberg group
• On the rothschild-stein lifting theorem
• Fonction spectrale et valeurs propres d'une classe d'operateurs non elliptiques
• ON A CLASS OF HYPOELLIPTIC OPERATORS

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