Transfer of global wellposedness from nonlinear Klein-Gordon equation to nonlinear Schrödinger equation.
Hokkaido Mathematical Journal, 37 (2008) pp.749-771
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.
|MSC(Secondary)||35Q55, 35B40, 35B25|
|Uncontrolled Keywords||nonlinear Klein-Gordon equation, nonlinear Schrödinger equation, wellposedness, nonrelativistic limit.|