Solution of quasilinear stochastic problems in abstract Colombeau algebras

DOI10.1134/S0012266117120084zbMath1412.60084OpenAlexW2790378604MaRDI QIDQ1709671

Peng Zhang

Publication date: 6 April 2018

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266117120084

zbMATH Keywords

Colombeau algebrasrandom disturbancesstochastic Cauchy problem

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Operations with distributions and generalized functions (46F10) Linear differential equations in abstract spaces (34G10)

Related Items (3)

Multiplication of distributions and algebras of mnemofunctions ⋮ Integro-differential equations generated by stochastic problems ⋮ Unnamed Item

Cites Work

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• Weak and generalized solutions of abstract stochastic equations.
• Abstract stochastic equations. I: Classical and distributional solutions
• Solution of an abstract Cauchy problem with nonlinear and random perturbations in the Colombeau algebra
• Regularized and generalized solutions of infinite-dimensional stochastic problems
• Stochastic Differential Equations in Infinite Dimensions
• Peculiarities and regularization of ill-posed Cauchy problems with differential operators
• Stochastic Cauchy Problems in Infinite Dimensions
• Stochastic Equations in Infinite Dimensions
• Finite bandwidth, finite amplitude convection

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