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Matematicheskoe modelirovanie, 1991, Volume 3, Number 11, Pages 96–109 (Mi mm2296)  
Computational methods and algorithms

Cauchy problem for the nonlocal Schrödinger equation. II

E. I. Kaikina
Full-text PDF (938 kB)
Abstract: The Cauchy problem for the nonlinear nonlocal Schrödinger equation is studied. The conditions under which discontinuous initial data are smoothing in due course and there exists the solution in the large are found. In the case of untidissipative operators the local in time existence of the classical solutions is proved.
Received: 28.05.1991
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Language: Russian
Citation: E. I. Kaikina, “Cauchy problem for the nonlocal Schrödinger equation. II”, Mat. Model., 3:11 (1991), 96–109
Citation in format AMSBIB
\Bibitem{Kai91}
\by E.~I.~Kaikina
\paper Cauchy problem for the nonlocal Schr\"odinger equation.~II
\jour Mat. Model.
\yr 1991
\vol 3
\issue 11
\pages 96--109
\mathnet{http://mi.mathnet.ru/mm2296}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=1157086}
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  • https://www.mathnet.ru/eng/mm/v3/i11/p96
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