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- W2952682018 abstract "We show that a class of spaces of vector fields whose semi-norms involve the magnitude of directional difference quotients is in fact equivalent to the class of fractional Sobolev spaces. The equivalence can be considered a Korn-type characterization of fractional Sobolev spaces. We use the result to understand better the energy space associated to a strongly coupled system of nonlocal equations related to a nonlocal continuum model via peridynamics. Moreover, the equivalence permits us to apply classical space embeddings in proving that weak solutions to the nonlocal system enjoy both improved differentiability and improved integrability." @default.
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- W2952682018 date "2018-08-06" @default.
- W2952682018 modified "2023-09-27" @default.
- W2952682018 title "A fractional Korn-type inequality" @default.
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