Existence and uniqueness of the solution for stochastic equations on banach spaces

DOI10.1080/17442509508834024zbMath0886.60064OpenAlexW2049896635MaRDI QIDQ4357818

Szymon Peszat

Publication date: 19 April 1998

Published in: Stochastics and Stochastic Reports (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17442509508834024

zbMATH Keywords

reaction diffusion equationsmild solutionsstochastic equations on Banach spaces

Mathematics Subject Classification ID

Heat equation (35K05) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (12)

Martingale solutions and invariant measures for stochastic evolution equations in Banach spaces ⋮ Stochastic evolution equations with a spatially homogeneous Wiener process ⋮ On stochastic convolution in banach spaces and applications ⋮ Fast-diffusion limit for reaction-diffusion equations with multiplicative noise ⋮ Stochastic Heat and Wave Equations on a Lie Group ⋮ SPDEs in infinite dimension with Poisson noise ⋮ On the existence of a solution to stochastic Navier-Stokes equations ⋮ Lyapunov Functions and Stationary Distributions of Stochastic Evolution Equations ⋮ Drift estimation for stochastic reaction-diffusion systems ⋮ Parabolic SPDEs driven by Poisson white noise ⋮ Stochastic reaction-diffusion equations on networks ⋮ Stochastic Reaction-Diffusion Systems With Hölder Continuous Multiplicative Noise

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