Probabilistic representation of solutions for a class of evolution equations
β Scribed by N. V. Smorodina; M. M. Faddeev
- Publisher
- Springer US
- Year
- 2011
- Tongue
- English
- Weight
- 699 KB
- Volume
- 176
- Category
- Article
- ISSN
- 1573-8795
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π SIMILAR VOLUMES
We study a class of abstract nonlinear evolution equations in a separable Hilbert space for which we prove existence of strong time periodic solutions, provided the right-hand side is periodic and C 1 in time, and small enough in the norm of the considered space. We prove also uniqueness and stabili
The Cauchy problem for a multidimensional linear non-homogeneous transport equation in divergence form is investigated. An explicit and an implicit representation formulas for the unique solution of this transport equation in the case of a regular vector field v are proved. Then, together with a reg