3 papers
math.FA2011
Properties of parabolic Sobolev and parabolic Besov spaces
Tongkeun Chang
In this paper, we characterize parabolic Besov and parabolic Sobolev spaces in and . We also, study the relation between parabolic Beso…
math.AP2011
Boundary integral operator for the fractional Laplace equation in a bounded Lipschitz domain
Tongkeun Chang
We study the boundary integral operator induced from fractional Laplace equation in a bounded Lipschitz domain. As an application, we study the boundary value problem of a fraction…
math.AP2011
On Initial-Boundary Value Problem of Stochastic Heat Equation in a Lipschitz Cylinder
Tongkeun Chang, Kijung Lee, Minsuk Yang
We consider the initial boundary value problem of non-homogeneous stochastic heat equation. The derivative of the solution with respect to time receives heavy random perturbation.…