Boundary value problems for the Schrodinger equation with conditions at infinity
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POKUTNYI, Oleksandr. Boundary value problems for the Schrodinger equation with conditions at infinity. In: Conference of Mathematical Society of the Republic of Moldova, 28 iunie - 2 iulie 2017, Chişinău. Chişinău: Centrul Editorial-Poligrafic al USM, 2017, 4, pp. 321-324. ISBN 978-9975-71-915-5.
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Conference of Mathematical Society of the Republic of Moldova
4, 2017
Conferința "Conference of Mathematical Society of the Republic of Moldova"
Chişinău, Moldova, 28 iunie - 2 iulie 2017

Boundary value problems for the Schrodinger equation with conditions at infinity

Pag. 321-324

Pokutnyi Oleksandr12
 
1 National Academy of Science of Ukraine,
2 Taras Shevchenko National University of Kyiv
 
 
Disponibil în IBN: 5 octombrie 2017


Rezumat

The paper is devoted to investigation of boundary value problems for the evolution Schr¨odinger equation. Necessary and sufficient conditions of the existence of bounded solutions are obtained under assumption that the homogeneous equation admits an exponential dichotomy on the semi-axes.

Cuvinte-cheie
Moore-Penrose pseudoinvertible operator, exponential dichotomy, quantuum chaos