Abstract Boundary Conditions for Maximal Sectorial Extensions of Sectorial Operators

By Y. Arlinskii̇̆. 2000

46 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Mathematical Physics, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/0c45a93905104bd17ce4a58828e88935081af70b

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

1. Olaf Post
2. Jussi Behrndt
3. Matthias Langer
4. Ian Wood
5. Serguei Naboko
6. Malcolm Brown
7. Marco Marletta
8. S. Hassi

In Mathematical Physics

1. Olaf Post
2. Jussi Behrndt
3. Matthias Langer
4. Ian Wood
5. Serguei Naboko
6. Malcolm Brown
7. Marco Marletta
8. H. D. de Snoo

In Mechanics of Materials

1. Ian Wood
2. Matthias Langer
3. Serguei Naboko
4. Jussi Behrndt
5. Malcolm Brown
6. Marco Marletta
7. Olaf Post

Citations in the corpus

• A description of all self-adjoint extensions of the Laplacian and Kreĭn-type resolvent formulas on non-smooth domains (2009, unknown): “erator −∆D,Ω. Concluding this section, we point out that a great variety of additional results for the Krein–von Neumann extension can be found, for instance, in [3], [5, Sect. 109], [8], [11], [12], [13], [14], [15], [16], [17], [18], [19], [20], [32], [47, Part III], [51, Sect. 3.3], [57], [65], [”
• Boundary value problems for elliptic partial differential operators on bounded domains (2007, background): “Vǐsik, to [3,5,8,10,11,24,26,28,30,32] and to [2,12,18,21,22,25] for more abstract approaches.”
• Boundary triplets and M‐functions for non‐selfadjoint operators, with applications to elliptic PDEs and block operator matrices (2007, methodology): “…such as characterising extensions of the operators and investigating spectral properties via the Weyl-M -function, have subsequently been extended for this situation: see, for instance, Malamud and Mogilevski [25] for adjoint pairs of operators, Langer and Textorius [22] and Malamud [24] for…”
• Boundary pairs associated with quadratic forms (2012, background): “[10] Y. Arlinskii, Abstract boundary conditions for maximal sectorial extensions of sectorial operators, Math.”
• Componentwise and Cartesian decompositions of linear relations (2009, background): “Further work has been concerned with symmetric and selfadjoint relations and, more generally, with normal, accretive, dissipative, and sectorial relations, see for instance [3], [4], [8], [13], [32].”