Seminars｜Fostering top leaders in mathematics -- broadening the core and exploring new ground

Seminar

Language	English
From	2011/11/11 15:30
To	2011/11/11 17:30
Place	Room 251, Building No.3, Faculty of Science, Kyoto University
Seminar Name	NLPDE Seminar
Title	Energy Scattering for Schr $\ddot{o}$ dinger Equation with Exponential Nonlinearity in Two Dimensions
Field	Analysis
Speakers	Wang Shuxia
Affiliation	Kyoto
Abstract	When the spatial dimensions $n=2$ , the radial initial data $u_0\in H1$ and the Hamiltonian $H(u_0) \leq 1$ , we will show that the scattering operator is well-defined in the whole energy space $H1(\mathbb{R}2)$ for nonlinear Schr $\ddot{o}$ dinger equation with exponential nonlinearity $(e^{\lambda\|u\|^2}-1)u$ , where $0<\lambda<4\pi$ .
Link	http://www.math.kyoto-u.ac.jp/~yosihiro/nlpde/nlpde.html