*-solutions of evolution equations in Hilbert space

DOI10.1016/0022-0396(87)90172-0zbMath0613.34048OpenAlexW2036612197MaRDI QIDQ1088836

Louis G. Gorostiza, Donald A. Dawson

Publication date: 1987

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-0396(87)90172-0

zbMATH Keywords

Hilbert spaceweak solutionsmild solutionsstochastic evolution equationssemilinear evolution equations

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Groups and semigroups of linear operators (47D03) Linear differential equations in abstract spaces (34G10)

Related Items (9)

Fubini theorem for anticipating stochastic integrals in Hilbert space ⋮ Inhomogenous infinite dimensional langevin equations ⋮ On nonlinear stochastic evolution equations^∗ ⋮ The demographic variation process of multitype branching random fields ⋮ A random field approach to weak convergence of processes ⋮ On equivalence of solution to stochastic differential equation with antipating evolution system ⋮ Generalized solutions of a class of nuclear-space-valued stochastic evolution equations ⋮ Strong, mild and weak solutions of backward stochastic evolution equations ⋮ Hölder-Sobolev regularity of solutions to a class of SPDE's driven by a spatially colored noise

Cites Work

• Semigroups of linear operators and applications to partial differential equations
• Semimartingales: A course on stochastic processes
• Feedback stabilization of distributed semilinear control systems
• Duhamel's principle for temporally inhomogeneous evolution equations in Banach space
• A submartingale type inequality with applicatinos to stochastic evolution equations
• Shorter Notes: Strongly Continuous Semigroups, Weak Solutions, and the Variation of Constants Formula
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