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Function spaces and extension results for nonlocal Dirichlet problems
Published 6 Dec 2016 in math.AP | (1612.01628v2)
Abstract: We study function spaces and extension results in relation with Dirichlet problems involving integrodifferential operators. For such problems, data are prescribed on the complement of a given domain in the Euclidean space. We introduce a function space that serves as a trace space for nonlocal Dirichlet problems and study related extension results.
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