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math.PR2017★ 2 cited
A regularity theory for quasi-linear Stochastic Partial Differential Equations in weighted Sobolev spaces
Ildoo Kim, Kyeong-hun Kim
We study the second-order quasi-linear stochastic partial differential equations (SPDEs) defined on domains. The coefficients are random functions depending on and the…
math.AP2017★ 2 cited
An -theory for diffusion equations related to stochastic processes with non-stationary independent increment
Ildoo Kim, Kyeong-Hun Kim, Panki Kim
Let be a stochastic process which has an (not necessarily stationary) independent increment on a probability space . In this paper, we study th…