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Abstract Boundary Conditions for Maximal Sectorial Extensions of Sectorial Operators
Author(s) -
Arlinskii Yury
Publication year - 2000
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/(sici)1522-2616(200001)209:1<5::aid-mana5>3.0.co;2-r
Subject(s) - mathematics , operator (biology) , differential operator , vertex (graph theory) , boundary value problem , boundary (topology) , order (exchange) , ordinary differential equation , partial derivative , mathematical analysis , pure mathematics , discrete mathematics , differential equation , graph , biochemistry , chemistry , finance , repressor , transcription factor , economics , gene
The purpose of this paper is to give a description of all maximal sectorial extensions of a given closed densely defined sectorial operator with the vertex at the origin in terms of abstract boundary conditions. Applications to ordinary and partial second order differential operators as well as one‐dimensional Schrödinger operators with a point interaction will be considered.