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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.…