Solution of Quasilinear Stochastic Problems in Abstract Colombeau Algebras
- Авторы: Melnikova I.V.1, Bovkun V.A.1, Alekseeva U.A.1
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Учреждения:
- Ural Federal University
- Выпуск: Том 53, № 12 (2017)
- Страницы: 1605-1615
- Раздел: 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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Аннотация
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.
Об авторах
I. Melnikova
Ural Federal University
Автор, ответственный за переписку.
Email: Irina.Melnikova@urfu.ru
Россия, Yekaterinburg, 620002
V. Bovkun
Ural Federal University
Email: Irina.Melnikova@urfu.ru
Россия, Yekaterinburg, 620002
U. Alekseeva
Ural Federal University
Email: Irina.Melnikova@urfu.ru
Россия, Yekaterinburg, 620002
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