High-frequency approximation for the Helmholtz equation: A probabilistic approach

DOI10.1016/S0034-4877(97)85615-7zbMath0990.35043MaRDI QIDQ1381947

Serge Iovleff, José Rafael León

Publication date: 12 February 2002

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

probabilistic representationhigh-frequency approximationHelmholtz equation with analytic coefficients

Mathematics Subject Classification ID

Hydro- and aero-acoustics (76Q05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Electromagnetic theory (general) (78A25) Representations of solutions to partial differential equations (35C99)

Cites Work

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• Sur une résolution stochastique de l'équation de Schrödinger à coefficients analytiques
• Probabilistic approach to wave propagation problems. I
• Probabilistic approach to wave propagation problems. II: Boundary value problems
• Classical mechanics, the diffusion (heat) equation, and the Schrödinger equation
• Rays, waves and asymptotics
• Some Asymptotic Formulas for Wiener Integrals
• Transformations of Wiener Integrals Under a General Class of Linear Transformations

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