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ODEs related with some nonlocal Schr\"{o}dinger equations and its applications
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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.
Abstract
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.
참고문헌 (3)
- R. Carles and C. Gallo, "Finite time extinction by nonlinear damping for the Schrodinger equation", Comm. Partial Di erential Equations, 36(6), pp.961~975 (2011)
- 허형진, "Solution formulas for some nonlocal heat equations", 대한수학회논문집, 31(3), pp.567~573 (2016), 대한수학회
- K. Nakamura, "Finite charge solutions to cubic Schrodinger equations with a nonlocal nonlinearity in one space dimension", Discrete Contin. Dyn. Syst, 33(2), pp.789~801 (2013)
관련 논문AI추천
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