L 2 Estimates for the Boundary Laplacian Operator on Hypersurfaces

DOI10.2307/2374642zbMath0675.35064OpenAlexW2323309551MaRDI QIDQ3829911

Linda Preiss Rothschild, Alain Grigis

Publication date: 1988

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2374642

zbMATH Keywords

Laplacianhypersurfaces\(L^ 2\) estimates

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) (overlinepartial)-Neumann problems and formal complexes in context of PDEs (35N15)

Related Items (8)

Unnamed Item ⋮ Domains with maximal estimate. ⋮ Estimations along components for the \(\bar{\partial}\)-Neumann problem for some classes of pseudoconvex domains in \(\mathbb{C}^ n\). ⋮ Local analyticity for the \(\bar {\partial{}}\)-Neumann problem and \({\square{}}_ b\) -- some model domains without maximal estimates ⋮ A parametrix for the \(\overline{\partial}\)-Neumann problem on pseudoconvex domains of finite type ⋮ Maximal hypoellipticity for the \(\overline{\partial}\)-Neumann problem ⋮ Microlocalisation et estimations pour \({\bar \partial}_ b\) dans quelques hypersurfaces pseudoconvexes. (Microlocalization and estimates for \({\bar \partial}_ b\) on some pseudoconvex hypersurfaces.) ⋮ Smoothness and analyticity for solutions of first order systems of partial differential equations on nilpotent Lie groups

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