Generalized boundary triples, II. Some applications of generalized boundary triples and form domain invariant Nevanlinna functions

نویسندگان

چکیده

The paper is a continuation of Part I and contains several further results on generalized boundary triples, the corresponding Weyl functions, applications this technique to ordinary partial differential operators. We establish connection between Post's theory pairs closed nonnegative forms one hand triples symmetric operators other hand. Applications Laplacian operator bounded domains with smooth, Lipschitz, even rough boundary, as well mixed value problem for are given. Other concern momentum, Schrödinger, Dirac local point interactions. These demonstrate natural occurrence E S $ES$ -generalized domain invariant functions essentially selfadjoint reference A0.

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ژورنال

عنوان ژورنال: Mathematische Nachrichten

سال: 2022

ISSN: ['1522-2616', '0025-584X']

DOI: https://doi.org/10.1002/mana.202000049