Nonlocal operators with local boundary conditions in higher dimensions
Sign Up to like & getrecommendations! Published in 2019 at "Advances in Computational Mathematics"
DOI: 10.1007/s10444-018-9624-6
Abstract: We present novel nonlocal governing operators in 2D/3D for wave propagation and diffusion. The operators are inspired by peridynamics. They agree with the original peridynamics operator in the bulk of the domain and simultaneously enforce… read more here.
Keywords: operators local; local boundary; boundary conditions; nonlocal operators ... See more keywords
Sharp constants for multilinear Hausdorff operators on local Morrey-type spaces
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DOI: 10.1515/forum-2022-0354
Abstract: Abstract Necessary and sufficient conditions for the boundedness of multilinear Hausdorff operators on local Morrey-type spaces are obtained and sharp constants are also given. As applications, we generalize our results to some concrete operators derived… read more here.
Keywords: hausdorff operators; operators local; multilinear hausdorff; morrey type ... See more keywords