naa a22 4500 51081137X CHVBK 20180411083444.0 cr unu---uuuuu 180411e20131201xx s 000 0 eng 10.1134/S0081543813080129 doi (NATIONALLICENCE)springer-10.1134/S0081543813080129 Sakbaev V. Moscow Institute of Physics and Technology (State University), Institutskii per. 9, 141700, Dolgoprudnyi, Moscow oblast, Russia aut Gradient blow-up of solutions to the Cauchy problem for the Schrödinger equation [Elektronische Daten] [V. Sakbaev] A class of nonlinear Schrödinger operators with singular coefficients is studied. For this class, necessary and sufficient conditions are established for the existence of initial data such that the corresponding solution to the Cauchy problem blows up in finite time. A regularization procedure for the Cauchy problem is proposed, and the limit behavior of the sequence of solutions to the regularized problems is analyzed. Pleiades Publishing, Ltd., 2013 Proceedings of the Steklov Institute of Mathematics Springer US; http://www.springer-ny.com 283/1(2013-12-01), 165-180 0081-5438 283:1<165 2013 283 11501 https://doi.org/10.1134/S0081543813080129 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1134/S0081543813080129 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Sakbaev V. Moscow Institute of Physics and Technology (State University), Institutskii per. 9, 141700, Dolgoprudnyi, Moscow oblast, Russia aut NATIONALLICENCE 773 0- Proceedings of the Steklov Institute of Mathematics Springer US; http://www.springer-ny.com 283/1(2013-12-01), 165-180 0081-5438 283:1<165 2013 283 11501 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer