Semi-linear diffusion in and in Hilbert spaces, a FeynmanWiener path integral study

DOI10.1515/ROSE.2011.020zbMath1302.35421arXiv1003.0048OpenAlexW2326006783MaRDI QIDQ4923227

Luiz C. L. Botelho

Publication date: 6 June 2013

Published in: Random Operators and Stochastic Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.0048

zbMATH Keywords

cylindrical measures on Hilbert spacespartial differential equations in Hilbert spaces

Mathematics Subject Classification ID

Diffusion (76R50) Reaction-diffusion equations (35K57) Random operators and equations (aspects of stochastic analysis) (60H25) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Weak solutions to PDEs (35D30) Operator partial differential equations (= PDEs on finite-dimensional spaces for abstract space valued functions) (35R20) Applications of functional analysis to differential and integral equations (46N20)

Related Items (4)

Quasi-Feynman formulas -- a method of obtaining the evolution operator for the Schrödinger equation ⋮ Some comments on infinities on quantum field theory: a functional integral approach ⋮ Solution of a Cauchy problem for a diffusion equation in a Hilbert space by a Feynman formula ⋮ Explicit formula for evolution semigroup for diffusion in Hilbert space

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