Non Autonomous Semilinear Stochastic Evolution Equations

DOI10.1080/03610926.2013.841936zbMath1320.60124OpenAlexW1541114895MaRDI QIDQ5265869

Xiliang Fan

Publication date: 29 July 2015

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610926.2013.841936

zbMATH Keywords

mild solutionfactorization methodstochastic evolution equationsPicard approximation

Mathematics Subject Classification ID

Stochastic integrals (60H05) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (1)

Existence and Uniqueness for a Class of SPDEs Driven by L'{e}vy Noise in Hilbert Spaces

Cites Work

• Gradient estimates for stochastic evolution equations with non-Lipschitz coefficients
• Regular dependence on initial data for stochastic evolution equations with multiplicative Poisson noise
• Semigroups of linear operators and applications to partial differential equations
• Stability of semilinear stochastic evolution equations
• Successive approximations to solutions of stochastic differential equations
• Singular stochastic equations on Hilbert spaces: Harnack inequalities for their transition semigroups
• Approximations to mild solutions of stochastic semilinear equations with non-Lipschitz coefficients
• Regularity of solutions of linear stochastic equations in hilbert spaces
• Ergodicity for Infinite Dimensional Systems

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