Gaku Hoshino, Tohru Ozawa
Abstract:
We study the Cauchy problem for the cubic hyperbolic
Schrodinger equation in two space dimensions.
We prove existence of analytic global solutions for sufficiently
small and exponential decaying data.
The method of proof depends on the generalized Leibniz rule for the
generator of pseudo-conformal transform acting on pseudo-conformally
invariant nonlinearity.
Submitted April 4, 2015. Published January 25, 2016.
Math Subject Classifications: 35Q55.
Key Words: Nonlinear Schrodinger equation; non elliptic Schrodinger equation;
analytic smoothing effect; global solution.
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Gaku Hoshino Department of Applied Physics Waseda University Tokyo 169-8555, Japan email: gaku-hoshino@ruri.waseda.jp | |
Tohru Ozawa Department of Applied Physics Waseda University Tokyo 169-8555, Japan email: txozawa@waseda.jp |
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