Time regularity of stochastic convolutions and stochastic evolution equations in duals of nuclear spaces

DOI10.1080/07362994.2022.2144374arXiv2203.03788OpenAlexW4309182526MaRDI QIDQ6065385

Christian A. Fonseca-Mora

Publication date: 11 December 2023

Published in: Stochastic Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.03788

zbMATH Keywords

stochastic evolution equationsstochastic convolutiondual of a nuclear spacecylindrical martingale-valued measures

Mathematics Subject Classification ID

Sample path properties (60G17) Generalized stochastic processes (60G20) Stochastic integrals (60H05) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stochastic integration for inhomogeneous Wiener process in the dual of a nuclear space
• Infinite dimensional stochastic differential equation models for spatially distributed neurons
• Stochastic evolution equations driven by nuclear-space-valued martingales
• Regularity and convergence of stochastic convolutions in duals of nuclear Fréchet spaces
• Existence of continuous and càdlàg versions for cylindrical processes in the dual of a nuclear space
• Lévy processes and infinitely divisible measures in the dual of a nuclear space
• Stochastic integration and stochastic PDEs driven by jumps on the dual of a nuclear space
• Semigroups of operators in locally convex spaces
• A submartingale type inequality with applicatinos to stochastic evolution equations
• On the regularity of stochastic difference equations in hyperfinite-dimensional vector spaces and applications to -valued stochastic differential equations
• Stochastic Partial Differential Equations with Levy Noise
• Semigroups of Operators on Locally Convex Spaces

This page was built for publication: Time regularity of stochastic convolutions and stochastic evolution equations in duals of nuclear spaces