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math.CA2016
mapping properties for nonlocal Schrödinger operators with certain potential
Woocheol Choi, Yong-Cheol Kim
In this paper, we consider nonlocal Schrödinger equations with certain potentials given by an integro-differential operator as follows; \begin{equation*}L_K u+V u=f\,\,\t…
math.CA2016
The Malgrange-Ehrenpreis theorem for nonlocal Schrödinger operators with certain potentials
Woocheol Choi, Yong-Cheol Kim
In this paper, we prove the Malgrange-Ehrenpreis theorem for nonlocal Schrödinger operators with nonnegative potentials $V\in L^q_{\loc}(\BR^n)$ for $q>\f{n}{2s}$ with $0<s…