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- W3009830774 abstract "In this paper we consider the real-valued mass-critical nonlinear Klein-Gordon equations in three and higher dimensions. We prove the dichotomy between scattering and blow-up below the ground state energy in the focusing case, and the energy scattering in the defocusing case. We use the concentration-compactness/rigidity method as R. Killip, B. Stovall, and M. Visan [Trans. Amer. Math. Soc. 364 (2012)]. The main new novelty is to approximate the large scale (low-frequency) profile by the solution of the mass-critical nonlinear Schrodinger equation when the nonlinearity is not algebraic." @default.
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- W3009830774 date "2020-03-03" @default.
- W3009830774 modified "2023-09-28" @default.
- W3009830774 title "Scattering for the mass-critical nonlinear Klein-Gordon equations in three and higher dimensions" @default.
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- W3009830774 doi "https://doi.org/10.48550/arxiv.2003.01468" @default.
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