Strict Solutions to Stochastic Parabolic Evolution Equations in M-Type 2 Banach Spaces

DOI10.1619/fesi.61.191zbMath1434.60145arXiv1508.07431OpenAlexW2963418438MaRDI QIDQ5234835

Yoshitaka Yamamoto, Tôn Viêt Ta, Atsushi Yagi

Publication date: 4 October 2019

Published in: Funkcialaj Ekvacioj (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.07431

zbMATH Keywords

strict solutionsM-type 2 Banach spacesstochastic linear evolution equationsanalytical semigroups

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) One-parameter semigroups and linear evolution equations (47D06) Geometry and structure of normed linear spaces (46B20)

Related Items (3)

Regularity of solutions of abstract linear evolution equations ⋮ Maximal regularity for non-autonomous stochastic evolution equations in UMD Banach spaces ⋮ Strict solutions to stochastic semilinear evolution equations in M-type 2 Banach spaces

Cites Work

• Set-valued and fuzzy stochastic differential equations in M-type 2 Banach spaces
• Fractional powers of operators and evolution equations of parabolic type
• Stochastic evolution equations in UMD Banach spaces
• On the martingale problem for Banach space valued stochastic differential equations
• Stochastic partial differential equations in \(M\)-type 2 Banach spaces
• Stochastic integration in UMD Banach spaces
• H ∞ Functional Calculus and Characterization of Domains of Fractional Powers
• Abstract Parabolic Evolution Equations and their Applications
• Stochastic Equations in Infinite Dimensions
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