Once again on evolution equations with monotone operators in Hilbert spaces and applications
Abstract Existence, uniqueness and stability of the solutions of linear stochastic evolution equations are investigated. The results obtained are used to prove theorems on solvability of linear second order stochastic partial differential equations in $$L_{p}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>L</mml:mi> <mml:mi>p</mml:mi> </mml:msub> </mml:math> -setting with singular lower-order coefficients.
Authors
- Н. В. Крылов (ORCID: https://orcid.org/0000-0002-2068-0432)
- István Gyöngy (ORCID: https://orcid.org/0000-0002-2131-1313)
Institutions
- University of Minnesota (US)
- Maxwell Institute for Mathematical Sciences (GB)
Publication Details
- Journal
- Stochastic Partial Differential Equations Analysis and Computations
- Published
- 2025-08-29
- DOI
- https://doi.org/10.1007/s40072-025-00385-w
- Citations
- 2
- Primary Topic
- Advanced Mathematical Modeling in Engineering
- Type
- article
- Field-Weighted Citation Impact
- 3.01