ALMOST PERIODIC SOLUTIONS TO STOCHASTIC EVOLUTION EQUATIONS ON BANACH SPACES

DOI10.1142/S021949371250027XzbMath1272.60042MaRDI QIDQ2841326

Paul Crewe

Publication date: 24 July 2013

Published in: Stochastics and Dynamics (Search for Journal in Brave)

zbMATH Keywords

stochastic differential equationsevolution familyalmost periodicity\(\gamma \)-radonifying operatorsR-boundedness

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

Related Items (6)

Existence and exponential stability of pseudo almost periodic solutions for impulsive nonautonomous partial stochastic evolution equations ⋮ Pseudo almost periodicity and its applications to impulsive nonautonomous partial functional stochastic evolution equations ⋮ Some periodic type solutions for stochastic reaction-diffusion equation with cubic nonlinearities ⋮ Pseudo almost periodic in distribution solutions to impulsive partial stochastic functional differential equations ⋮ The solutions with recurrence property for stochastic linearly coupled complex cubic-quintic Ginzburg–Landau equations ⋮ Existence of almost periodic solutions for fractional impulsive neutral stochastic differential equations with infinite delay

Cites Work

• On permanent regimes for non-autonomous linear evolution equations in Banach spaces with applications to transport theory
• \(R\)-boundedness of smooth operator-valued functions
• Evolution operators and strong solutions of abstract linear parabolic equations
• Stochastic evolution equations in UMD Banach spaces
• Almost periodicity of parabolic evolution equations with inhomogeneous boundary values
• Stochastic integration in UMD Banach spaces
• Periodic and almost periodic solutions for semilinear stochastic equations
• Uniqueness for stochastic evolution equations in Banach spaces
• Stochastic integration of functions with values in a Banach space
• Non-autonomous stochastic Cauchy problems in Banach spaces

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