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20192025
most citedA Sobolev space theory for the Stochastic Partial Differential Equations with space-time non-local operators

2 citations · 7 across the 9 of their papers we have counts for

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math.PR2024

Sobolev regularity theory for stochastic reaction-diffusion-advection equations with spatially homogeneous colored noises and infinitesimal generators of subordinate Brownian motions

Jae-Hwan Choi, Beom-Seok Han, Daehan Park

This article investigates the existence, uniqueness, and regularity of solutions to nonlinear stochastic reaction-diffusion-advection equations (SRDAEs) with spatially homogeneous…

math.PR2021★ 2 cited

A Sobolev space theory for the Stochastic Partial Differential Equations with space-time non-local operators

Kyeong-Hun Kim, Daehan Park, Junhee Ryu

We deal with the Sobolev space theory for the stochastic partial differential equation (SPDE) driven by Wiener processes $$ \partial_{t}^αu=\left( ϕ(Δ) u +f(u) \right) + \partial_t…