Transfer of global wellposedness from nonlinear Klein-Gordon equation to nonlinear Schrödinger equation

Kenji Nakanishi

Type: Article

Publication Date: 2008-11-01

Citations: 10

DOI: https://doi.org/10.14492/hokmj/1249046367

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.

Locations

Hokkaido Mathematical Journal - View - PDF

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