Connection between weak and generalized solutions to infinite-dimensional stochastic problems

DOI10.3103/S1066369X14050028zbMath1317.60079OpenAlexW2092404792MaRDI QIDQ465102

O. S. Starkova, Irina V. Melnikova

Publication date: 31 October 2014

Published in: Russian Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3103/s1066369x14050028

zbMATH Keywords

weak solutionWiener processsemigroup of operatorsgeneralized solutionwhite noisestochastic Cauchy problem

Mathematics Subject Classification ID

White noise theory (60H40) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) (C)-semigroups, regularized semigroups (47D60)

Related Items (1)

Solutions of Stochastic Systems Generalized Over Temporal and Spatial Variables

Cites Work

• Kolmogorov equations for stochastic PDEs.
• Singular perturbation and boundary layer for an abstract Cauchy problem
• Abstract stochastic equations. I: Classical and distributional solutions
• Peculiarities and regularization of ill-posed Cauchy problems with differential operators
• Stochastic Equations in Infinite Dimensions
• Unnamed Item

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