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Seminar of the Mathematical Physics Department of the Institute of Applied Mathematics and Mechanics
November 6, 2024 18:00–19:00, Donetsk, online
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On the difference between the resolvents of Dirac-type operators. On the sectoriality of the Schrodinger operator with a measure-type potential.
A. V. Agibalova
Donetsk State University
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Abstract:
We consider the 2x2 Dirac-type systems. In terms of the coefficients of the boundary conditions, a formula for the rank of the difference of the resolvents is obtained. The Schrodinger operator with point interactions and a complex measure-type potential is also considered. In terms of potential, a sufficient conditions for the sectoriality of the corresponding quadratic form is obtained.
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