Stochastic evolution equations with Wick-analytic nonlinearities
Probability
2024-05-09 v2 Functional Analysis
Abstract
We study nonlinear stochastic partial differential equations with Wick-analytic type nonlinearities set in the framework of white noise analysis. These equations include the stochastic Fisher--KPP equations, stochastic Allen--Cahn, stochastic Newell--Whitehead--Segel, and stochastic Fujita--Gelfand equations. By implementing the theory of semigroups and evolution systems into the chaos expansion theory in infinite dimensional spaces, we prove existence and uniqueness of solutions for this class of stochastic partial differential equations.
Keywords
Cite
@article{arxiv.2303.07348,
title = {Stochastic evolution equations with Wick-analytic nonlinearities},
author = {Tijana Levajkovic and Stevan Pilipovic and Dora Selesi and Milica Zigic},
journal= {arXiv preprint arXiv:2303.07348},
year = {2024}
}
Comments
arXiv admin note: text overlap with arXiv:2303.06229