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A description of continuous solutions of the operator equation y2=d2/dz2in the space of entire functions

✍ Scribed by N. I. Berezovskii; N. I. Nagnibida

Publisher: SP MAIK Nauka/Interperiodica
Year: 1979
Tongue: English
Weight: 137 KB
Volume: 26
Category: Article
ISSN: 0001-4346
DOI: 10.1007/bf01157374

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## Abstract We investigate the asymptotic behavior of global solutions for nonlinear Schrödinger equation with a defocusing exponential nonlinearity in two space dimensions. We prove that any (global) solution approaches a unique free Schrödinger solution at the time infinity in the conformal space