Doyoon Kim

most citedThe Stochastic Heat Equation Driven by a Gaussian Noise: germ Markov Property

3 citations · 7 across the 3 of their papers we have counts for

collaborators

3 papers

math.PR2008★ 3 cited

The Stochastic Heat Equation Driven by a Gaussian Noise: germ Markov Property

Raluca Balan, Doyoon Kim

Let $u = {u (t, x); t \in [0, T], x \in R^{d}}$ be the process solution of the stochastic heat equation $u_{t} = Δ u + F ˙, u (0, \cdot) = 0$ driven by a Gaussian noise $F ˙$ ,…

math.AP2007★ 1 cited

Parabolic equations with partially VMO coefficients and boundary value problems in Sobolev spaces with mixed norms

Doyoon Kim

Second order parabolic equations in Sobolev spaces with mixed norms are studied. The leading coefficients (except $a^{11}$ ) are measurable in both time and one spatial variable, an…

math.AP2007★ 3 cited

Parabolic equations with measurable coefficients in $L_{p}$ -spaces with mixed norms

Doyoon Kim

The unique solvability of parabolic equations in Sobolev spaces with mixed norms is presented. The second order coefficients (except $a^{11}$ ) are assumed to be only measurable in…

The Stochastic Heat Equation Driven by a Gaussian Noise: germ Markov Property

Parabolic equations with partially VMO coefficients and boundary value problems in Sobolev spaces with mixed norms

Parabolic equations with measurable coefficients in Lp​-spaces with mixed norms

Parabolic equations with measurable coefficients in $L_{p}$ -spaces with mixed norms