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arxiv: 1612.01628 · v2 · pith:4PYOFCBPnew · submitted 2016-12-06 · 🧮 math.AP

Function spaces and extension results for nonlocal Dirichlet problems

classification 🧮 math.AP
keywords problemsdirichletextensionfunctionresultsspacenonlocalspaces
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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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