A general boundary value problem and its Weyl function
By Vladimir Ryzhov. 2007
56 citations recorded by the source corpus.
View Paper: https://www.semanticscholar.org/paper/09d107a373be16ef7519ffad5a40df01c2d5eff4
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Citations in the corpus
- Boundary pairs associated with quadratic forms (2012, methodology): “Ryzhov [78] uses a similar concept as boundary triples (in a weaker version) and also defines what we call Dirichlet-to-Neumann operator.”
- Boundary triplets and M‐functions for non‐selfadjoint operators, with applications to elliptic PDEs and block operator matrices (2007, result): “• Note that Ã∗ ∣∣ kerΓ2 is the operator with Dirichlet boundary conditions - the Friedrichs extension of A, while Ã∗ ∣∣ ker Γ1 is the Krĕın extension of A. • By exchanging the roles of Γ1 and Γ2 it is possible to express the Neumann boundary condition in the form Γ1 −BΓ2 for bounded B. • An abstr”
- M ‐functions for closed extensions of adjoint pairs of operators with applications to elliptic boundary problems (2008, result): “ic operators. The theory of boundary value spaces associated with symmetric operators has its origins in the work of Kocˇubeı˘ [24] andGorbachukand Gorbachuk[14]with developmentsfrom manyauthors,(see [6,25,27,28,35,37,39,41]). For adjoint pairs of abstract operators, boundary triplets were introduce”
- Elliptic operators, Dirichlet-to-Neumann maps and quasi boundary triples (2012, unknown): “Let us point out that a concept that is similar to quasi boundary triples was introduced and studied by V. Ryzhov independently in [Ryzhov, 2007, 2009].”
- A description of all self-adjoint extensions of the Laplacian and Kreĭn-type resolvent formulas on non-smooth domains (2009, background): “13], [76], [79], [80], [81], [82], [83], [84], [87], [88], [89], [95], [100], [101], [102], [103], [104], [105], [106], [107], [108], [111], [112], [113], [114], [119], [120], [121], [127], and the references cited therein.”
- Boundary Value Problems, Weyl Functions, and Differential Operators (2020, background): “However, for a selection of papers in which boundary triplet techniques were applied to differential operators and other related problems we refer to [28, 50, 86, 87, 97, 112, 113, 123, 143, 144, 155, 169, 170, 173, 174, 184, 185, 241, 288, 307, 342, 343, 344, 377, 461, 475, 477, 478, 483, 511, 529,”