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
Irregular Elliptic Boundary-Value Problems and Hörmander Spaces
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DOI: 10.1007/s11253-018-1504-1
Abstract: We study irregular elliptic problems with boundary operators of higher orders and prove that these problems are Fredholm on appropriate pairs of the inner-product Hörmander spaces that form a two-sided refined Sobolev scale. We prove… read more here.
Keywords: problems rmander; irregular elliptic; boundary value; elliptic boundary ... See more keywords
H-distributions on Hörmander spaces
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DOI: 10.1016/j.jmaa.2020.124717
Abstract: Abstract We define an important microlocal tool – H-distributions, a generalization of H-measures, on Hormander B p , k spaces. We also consider applications to linear partial differential equations with non-smooth coefficients and to some… read more here.
Keywords: distributions rmander; rmander spaces;