Non-autonomous stochastic Cauchy problems in Banach spaces

DOI10.4064/sm185-1-1zbMath1147.60044OpenAlexW2088702108MaRDI QIDQ5443905

Jan Zimmerschied, Mark C. Veraar

Publication date: 22 February 2008

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/sm185-1-1

zbMATH Keywords

weak solutionmild solution\(H^\infty\)-calculusevolution familymaximal regularityparabolic evolution equationcylindrical Brownian motionspace-time regularitystochastic Cauchy problemnon-autonomous equation\(\gamma\)-boundednessfactorisation method

Mathematics Subject Classification ID

One-parameter semigroups and linear evolution equations (47D06) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60)

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Stochastic integration in quasi-Banach spaces ⋮ Regularity of stochastic Volterra equations by functional calculus methods ⋮ Non-autonomous stochastic evolution equations and applications to stochastic partial differential equations ⋮ Vector-valued stochastic delay equations -- a semigroup approach ⋮ Continuous local martingales and stochastic integration in UMD Banach spaces ⋮ On the equivalence of solutions for a class of stochastic evolution equations in a Banach space ⋮ ALMOST PERIODIC SOLUTIONS TO STOCHASTIC EVOLUTION EQUATIONS ON BANACH SPACES ⋮ On semi-\(R\)-boundedness and its applications

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