English

Once again on evolution equations with monotone operators in Hilbert spaces and applications

Probability 2024-09-30 v1

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 LpL_{p}-setting with singular lower order coefficients.

Keywords

Cite

@article{arxiv.2409.18242,
  title  = {Once again on evolution equations with monotone operators in Hilbert spaces and applications},
  author = {István Gyöngy and Nicolai V. Krylov},
  journal= {arXiv preprint arXiv:2409.18242},
  year   = {2024}
}
R2 v1 2026-06-28T18:58:45.436Z