A viability theorem of stochastic semilinear evolution equations

DOI10.1007/s11856-011-0130-5zbMath1263.60059OpenAlexW1994362495MaRDI QIDQ1758944

Naoki Tanaka

Publication date: 19 November 2012

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-011-0130-5

zbMATH Keywords

mild solutionsstochastic partial differential equationstochastic semilinear evolution equationviability theorem

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05)

Cites Work

• Semigroups of locally Lipschitz operators associated with semilinear evolution equations
• Successive approximations to solutions of stochastic differential equations
• On the uniqueness of solutions of stochastic differential equations. II
• On the generation of unbounded semigroups of bounded linear operators
• A Generalization of Peano's Existence Theorem and Flow Invariance
• Nonautonomous differential equations in Banach spaces
• Differential Equations on Closed Subsets of a Banach Space
• Stochastic nagumo's viability theorem
• Characterization of Nonlinear Semigroups Associated with Semilinear Evolution Equations
• The Theorems of Bony and Brezis on Flow-Invariant Sets
• Ergodicity for Infinite Dimensional Systems
• On a characterization of flow‐invariant sets
• On the successive approximation of solutions of stochastic differential equations
• Stochastic Equations in Infinite Dimensions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: A viability theorem of stochastic semilinear evolution equations