대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제34권1호
  • /
  • Pages.231-238
  • /
  • 2019
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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ODES RELATED WITH SOME NONLOCAL SCHRÖDINGER EQUATIONS AND ITS APPLICATIONS

  • 투고 : 2018.02.01
  • 심사 : 2018.10.15
  • 발행 : 2019.01.31
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초록

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

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과제정보

연구 과제 주관 기관 : National Research Foundation of Korea(NRF)

참고문헌

  1. R. Carles and C. Gallo, Finite time extinction by nonlinear damping for the Schrodinger equation, Comm. Partial Differential Equations 36 (2011), no. 6, 961-975. https://doi.org/10.1080/03605302.2010.531074
  2. H. Huh, Solution formulas for some nonlocal heat equations, Commun. Korean Math. Soc. 31 (2016), no. 3, 567-573. https://doi.org/10.4134/CKMS.c150197
  3. K. Nakamura and T. Ozawa, Finite charge solutions to cubic Schrodinger equations with a nonlocal nonlinearity in one space dimension, Discrete Contin. Dyn. Syst. 33 (2013), no. 2, 789-801. https://doi.org/10.3934/dcds.2013.33.789