Abstract
We discuss relations between the nonlinear Klein-Gordon equation and the nonlinear Schrödinger equation in view of the global wellposedness in the energy space and L^2. In some critical cases, we show that the global wellposedness for the former equation with some uniform bounds implies that for the latter.
Citation
Kenji NAKANISHI. "Transfer of global wellposedness from nonlinear Klein-Gordon equation to nonlinear Schrödinger equation." Hokkaido Math. J. 37 (4) 749 - 771, November 2008. https://doi.org/10.14492/hokmj/1249046367
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