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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.
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참고문헌 (3)
참고문헌 신청
R. Carles and C. Gallo / 2011 / Finite time extinction by nonlinear damping for the Schrodinger equation / Comm. Partial Di erential Equations 36(6):961~975
허형진 / 2016 / Solution formulas for some nonlocal heat equations / 대한수학회논문집 31(3):567~573
K. Nakamura / 2013 / Finite charge solutions to cubic Schrodinger equations with a nonlocal nonlinearity in one space dimension / Discrete Contin. Dyn. Syst 33(2):789~801
허형진 / 2016 / Solution formulas for some nonlocal heat equations / 대한수학회논문집 31(3):567~573
K. Nakamura / 2013 / Finite charge solutions to cubic Schrodinger equations with a nonlocal nonlinearity in one space dimension / Discrete Contin. Dyn. Syst 33(2):789~801
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