Brownian motion and eigenvalues for the Dirichlet Laplacian

DOI10.1007/BF02570765zbMath0696.60077MaRDI QIDQ910828

Murali Rao, Svend-Erik Graversen

Publication date: 1990

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/174156

zbMATH Keywords

Brownian motionprincipal eigenvalueDirichlet LaplacianFeynman-Kac functionals

Mathematics Subject Classification ID

Brownian motion (60J65) Higher-dimensional potential theory (31B99)

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Cites Work

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• On extensions of the Brunn-Minkowski and Prekopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation
• A note on Hayman's theorem on the bass note of a drum
• Conditional gauge with unbounded potential
• Lower bounds for the first eigenvalue of the laplacian, with dirichlet boundary conditions and a theorem of hayman
• The First Eigenvalue of the Laplacian for Plane Domains
• Some bounds for principal frequency

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