Enviar artigo por via de e-mail Solution of Quasilinear Stochastic Problems in Abstract Colombeau Algebras
- Autores: Melnikova I.V.1, Bovkun V.A.1, Alekseeva U.A.1
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Afiliações:
- Ural Federal University
- Edição: Volume 53, Nº 12 (2017)
- Páginas: 1605-1615
- Seção: Partial Differential Equations
- URL: https://journals.rcsi.science/0012-2661/article/view/154647
- DOI: https://doi.org/10.1134/S0012266117120084
- ID: 154647
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Resumo
The main object of study is the stochastic Cauchy problem for a quasilinear equation with random disturbances in the form of a Hilbert-valued white noise process and with an operator generating an integrated semigroup in the space L2(R). We use the Colombeau theory of multiplication of distributions to introduce an abstract stochastic factor algebra and construct an approximate solution of the problem in this algebra.
Sobre autores
I. Melnikova
Ural Federal University
Autor responsável pela correspondência
Email: Irina.Melnikova@urfu.ru
Rússia, Yekaterinburg, 620002
V. Bovkun
Ural Federal University
Email: Irina.Melnikova@urfu.ru
Rússia, Yekaterinburg, 620002
U. Alekseeva
Ural Federal University
Email: Irina.Melnikova@urfu.ru
Rússia, Yekaterinburg, 620002
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