Sharp estimates for Dirichlet eigenfunctions in horn-shaped regions

DOI10.1007/BF02096574zbMath0772.35042OpenAlexW4244765303MaRDI QIDQ1207994

Rodrigo Bañuelos, Burgess Davis

Publication date: 16 May 1993

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02096574

zbMATH Keywords

method of Carlemanultracontractivity for the Dirichlet Laplacian

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50)

Related Items (7)

Erratum: Sharp estimates for Dirichlet eigenfunctions in Horn-shaped regions ⋮ Intrinsic ultracontractivity for stable semigroups on unbounded open sets ⋮ Sharp bounds for ground state eigenfunctions on domains with Horns and cusps ⋮ Some applications of heat flow to Laplace eigenfunctions ⋮ Intrinsic ultracontractivity and ground state estimates of non-local Dirichlet forms on unbounded open sets ⋮ Eigenfunction and harmonic function estimates in domains with horns and cusps ⋮ The Martin kernel for unbounded domains

Cites Work

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• Ultracontractivity and the heat kernel for Schrödinger operators and Dirichlet Laplacians
• Boundary behavior of Dirichlet eigenfunction of second order elliptic operators
• Eigenvalue inequalities for the Dirichlet problem on spheres and the growth of subharmonic functions
• Estimates of harmonic measures

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