Nonlocal operators with local boundary conditions in higher dimensions
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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
Elliptic Problems with Boundary Conditions of Higher Orders in Hörmander Spaces
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DOI: 10.1007/s11253-018-1466-3
Abstract: In a class of inner-product Hörmander spaces, we study a general elliptic problem for which the maximum order of boundary conditions is not lower than the order of the elliptic equation. The role of the… read more here.
Keywords: higher orders; boundary conditions; conditions higher; problems boundary ... See more keywords