Inequalities for exit times and eigenvalues of balls

DOI10.1007/s11118-010-9213-xzbMath1234.60085OpenAlexW2005195023MaRDI QIDQ640001

Michael Schmuckenschlaeger

Publication date: 11 October 2011

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11118-010-9213-x

zbMATH Keywords

Dirichlet eigenvaluesexit times

Mathematics Subject Classification ID

Brownian motion (60J65) Estimates of eigenvalues in context of PDEs (35P15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Cites Work

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• On the lowest eigenvalue of the Laplacian for the intersection of two domains
• On extensions of the Brunn-Minkowski and Prekopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation
• Prekopa's theorem and Kiselman's minimum principle for plurisubharmonic functions
• Santaló's inequality on \(\mathbb{C}^n\) by complex interpolation
• A general rearrangement inequality for multiple integrals
• On some Banach lattices
• Estimates of harmonic measures

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