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math.AP2023
Reflected Skorokhod equations and the Neumann boundary value problem for elliptic equations with Levy-type operators
Andrzej Rozkosz, Leszek Slominski
We consider Neumann problem for linear elliptic equations involving integro-differential operators of Levy-type. We show that suitably defined viscosity solutions have probabilisti…
math.AP2022★ 1 cited
On approximation of the Dirichlet problem for divergence form operator by Robin problems
Andrzej Rozkosz, Leszek Slominski
We show, that under natural assumptions, solutions of Dirichlet problems for uniformly elliptic divergence form operator can be approximated pointwise by solutions of some versions…
math.AP2016★ 1 cited
Systems of semilinear parabolic variational inequalities with time-dependent convex obstacles
Tomasz Klimsiak, Andrzej Rozkosz, Leszek Slominski
We consider a system of seminlinear parabolic variational inequalities with time-dependent convex obstacles. We prove the existence and uniqueness of its solution. We also provide…