Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2019; 34(1): 231-238

Online first article January 9, 2019      Printed January 31, 2019

https://doi.org/10.4134/CKMS.c180042

Copyright © The Korean Mathematical Society.

ODEs related with some nonlocal Schr\"{o}dinger equations and its applications

Hyungjin Huh

Chung-Ang University

Abstract

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We obtain ordinary differential equations related with some nonlocal Schr\"{o}dinger equations. As applications, we prove finite time blow-up or extinction of solutions.

Keywords: conlocal Schr\"{o}dinger equation, ODE, blow-up, extinction

MSC numbers: 35B40, 35C05, 35Q41

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