Robin-to-Robin Maps and Krein-Type Resolvent Formulas for Schr\
By Fritz Gesztesy, M. Mitrea. 2008
56 citations recorded by the source corpus.
We study Robin-to-Robin maps, and Krein-type resolvent formulas for Schrodinger operators on bounded Lipschitz domains in ℝn, n ⩾ 2, with generalized Robin boundary conditions.
Subfields: Computational Theory and Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/24192b49aaf42b619d985e6a84f12216c5ac3503
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In Computational Theory and Mathematics
In Mathematical Physics
Citations in the corpus
- Nonlocal Robin Laplacians and some remarks on a paper by Filonov on eigenvalue inequalities (2008, background): “1), have been very recently discussed in great detail in [25] and [26], and our treatment of nonlocal Robin Laplacians in this paper naturally builds upon these two papers.”
- Boundary pairs associated with quadratic forms (2012, methodology): “Recently, Gesztesy and Mitrea [37] (see also [35], [36]) provided a detailed analysis of all extensions of Laplacians on a subclass of Lipschitz domains, also providing Krein-type formulae as in (1.”
- Elliptic operators, Dirichlet-to-Neumann maps and quasi boundary triples (2012, unknown): “…see, e.g. [Derkach and Malamud, 1991; Gesztesy, Makarov and Tsekanovskii, 1998; Krĕın, 1946; Langer and Textorius, 1977; Pankrashkin, 2006; Saakjan, 1965] for the general case and, e.g. [Gesztesy and Mitrea, 2008, 2009, 2011; Grubb, 2008; Posilicano and Raimondi, 2009] for applications to PDEs.”
- Boundary Value Problems, Weyl Functions, and Differential Operators (2020, methodology): “Various papers based on boundary triplet techniques and related methods were published in the last decade; besides those papers listed before we mention as a selection here [18, 90, 91, 103, 107, 108, 251, 323, 324, 360, 429, 566, 568, 635, 647, 678] in which, e.”
- A description of all self-adjoint extensions of the Laplacian and Kreĭn-type resolvent formulas on non-smooth domains (2009, methodology): “Since it is impossible to cover the literature in this paper, we refer to the rather extensive recent bibliography in [55] and [56].”