Quasilinear stochastic Cauchy problem in abstract Colombeau spaces

DOI10.1155/2012/509026zbMath1259.60059OpenAlexW2125942319WikidataQ58704797 ScholiaQ58704797MaRDI QIDQ1925556

Uljana A. Alekseeva, Irina V. Melnikova

Publication date: 18 December 2012

Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/509026

zbMATH Keywords

Cauchy problemnonlinear perturbationsquasilinear equationsstochastic Colombeau algebrawhite noise type perturbations

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) One-parameter semigroups and linear evolution equations (47D06) Strong limit theorems (60F15) Transition functions, generators and resolvents (60J35)

Cites Work

• Singular perturbation and boundary layer for an abstract Cauchy problem
• Abstract stochastic equations. II: Solutions in spaces of abstract stochastic distributions.
• On a class of elliptic operators with unbounded coefficients in convex domains
• Regularized and generalized solutions of infinite-dimensional stochastic problems
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