| Autor: |
Melnikova, Irina V., Bovkun, Vadim A. |
| Předmět: |
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| Zdroj: |
Journal of Inverse & Ill-Posed Problems; Jun2024, Vol. 32 Issue 3, p529-540, 12p |
| Abstrakt: |
The paper is devoted to the regularization of ill-posed stochastic Cauchy problems in Hilbert spaces: (0.1) d u (t) = A u (t) d t + B d W (t) , t > 0 , u (0) = ξ . The need for regularization is connected with the fact that in the general case the operator A is not supposed to generate a strongly continuous semigroup and with the divergence of the series defining the infinite-dimensional Wiener process { W (t) : t ≥ 0 } . The construction of regularizing operators uses the technique of Dunford–Schwartz operators, regularized semigroups, generalized Fourier transform and infinite-dimensional Q-Wiener processes. [ABSTRACT FROM AUTHOR] |
| Databáze: |
Complementary Index |
| Externí odkaz: |
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