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- W4304943321 abstract "We show scattering versus blow-up dichotomy below the ground state energy for the focusing nonlinear Klein-Gordon equation, in the spirit of Kenig-Merle for the $H^1$ critical wave and Schrodinger equations. Our result includes the $H^1$ critical case, where the threshold is given by the ground state for the massless equation, and the 2D square-exponential case, where the mass for the ground state may be modified, depending on the constant in the sharp Trudinger-Moser inequality. The main difficulty is lack of scaling invariance both in the linear and nonlinear terms." @default.
- W4304943321 created "2022-10-13" @default.
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- W4304943321 date "2010-01-09" @default.
- W4304943321 modified "2023-09-30" @default.
- W4304943321 title "Scattering threshold for the focusing nonlinear Klein-Gordon equation" @default.
- W4304943321 doi "https://doi.org/10.48550/arxiv.1001.1474" @default.
- W4304943321 hasPublicationYear "2010" @default.
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