The Existence, Uniqueness, and Measurability of a Stopped Semilinear Integral Equation

DOI10.1080/07362990701282419zbMath1125.60060OpenAlexW2032738413MaRDI QIDQ3446959

Bijan Z. Zangeneh, Hamideh D. Hamedani

Publication date: 27 June 2007

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/07362990701282419

zbMATH Keywords

contractionexistence and uniquenessevolution operatorsemilinear evolution equationmeasurabilitylocal solutionsGalerkinmonotone nonlinearitystopped integral equation

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05)

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Nonlinear functional differential equations of monotone-type in Hilbert spaces ⋮ Reaction-Diffusion Equations with Polynomial Drifts Driven by Fractional Brownian Motions

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