Energy concentration of the focusing energy-critical fNLS
作者： Yonggeun Cho , Gyeongha Hwang , Yong-Sun Shim
DOI: 10.1016/J.JMAA.2015.12.060
关键词: Quantum mechanics 、 Nonlinear Schrödinger equation 、 Hartree 、 Nonlinear system 、 Dispersion (optics) 、 Type (model theory) 、 Kinetic energy 、 Trapping 、 Mathematics 、 Energy (signal processing)
摘要: Abstract We consider the fractional nonlinear Schrodinger equation (fNLS) with non-local dispersion | ∇ α and focusing energy-critical Hartree type nonlinearity [ − ( x 2 ⁎ u ) ] . energy-concentration phenomena of radial blowup solutions near maximal existence time. use concentration-compactness approach [19] for confined case kinetic energy trapping [21] unconfined case.
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