Boundary value problems for elliptic partial differential operators on bounded domains
By Jussi Behrndt, Matthias Langer. 2007
170 citations recorded by the source corpus.
Subfields: Computational Theory and Mathematics, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/f148379c46102152bc65879f767c6f80fbc74ed3
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Computational Theory and Mathematics
In Mathematical Physics
Citations in the corpus
- M ‐functions for closed extensions of adjoint pairs of operators with applications to elliptic boundary problems (2008, background): “Further recent developments in th is area can be found in [3, 8, 12, 38].”
- Boundary triplets and M‐functions for non‐selfadjoint operators, with applications to elliptic PDEs and block operator matrices (2007, background): “The case of symmetric operators with infinite deficiency indices is studied by Behrndt and Langer in [6].”
- Boundary Value Problems, Weyl Functions, and Differential Operators (2020, methodology): “Boundary triplets and their Weyl functions for symmetric operators have been further generalized in [103, 105, 109, 110, 115, 233, 236, 237, 246] by relaxing some of the conditions in the definition of a boundary triplet.”
- SPECTRA OF SELF-ADJOINT EXTENSIONS AND APPLICATIONS TO SOLVABLE SCHRÖDINGER OPERATORS (2006, background): “the recent works [16, 115] and the classical paper by Vishik [124], and t he question on effective description of all self-adjoint boundary value pro blems for partial differential equations is still open, see the discussion in [54, 55] a nd historical comments in [75]; an explicit construction of b”
- Elliptic operators, Dirichlet-to-Neumann maps and quasi boundary triples (2012, methodology): “are used as domains for the boundary mappings; the cases s = 2 and s = 32 were already studied in [Behrndt and Langer, 2007].”
- Boundary pairs associated with quadratic forms (2012, methodology): “[55] H. Langer and B. Textorius, On generalized resolvents and Q-functions of symmetric linear relations (subspaces) in Hilbert space, Pacific J. Math.”