Hyek Yoo
University of Minnesota
4 Papers
17 Citations
Hyek Yoo is an academic researcher from University of Minnesota. The author has contributed to research in topics: Stochastic partial differential equation & Partial differential equation. The author has an hindex of 4, co-authored 4 publications.
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Papers
Lp -estimates for stochastic pdes with discontinuous coefficients
TL;DR: In this article, the authors considered stochastic partial differential equations of divergence and non-divergence forms with nonsmooth coefficients and showed that there exists a constant Po>2 such that if p ∊ [2,po], then there exist a unique solution in some stochastically Banach space.
10
On the Unique Solvability of Some Nonlinear Stochastic PDEs
TL;DR: In this paper, the uniqueness and existence of the Cauchy problem for 1-dimensional nonlinear stochastic partial differential equations were proved in O(cH^2_p(T)$-space.
On Lp -Theory of stochastic partialdifferential equations of divergence form with continuous coefficients
TL;DR: In this article, an Lp-theory of stochastic PDEs of divergence form was developed and the solutions were shown to be continuous in space and time a.s.
4
Semi-discretization of stochastic partial differential equations on R 1 by a finite-difference method
TL;DR: A finite-difference scheme for the approximation of partial differential equations in R 1, with additional stochastic noise, using the weighted Lp-theory of SPDE and a sup-norm error estimate is derived and the rate of convergence is given.