On existence of global solutions of Schrödinger equations with subcritical nonlinearity for $̂L^{p}$-initial data
Work
Year: 2012
Type: article
Abstract: We construct a local theory of the Cauchy problem for the nonlinear Schrödinger equations \begin{eqnarray*} && iu_t + u_{xx} \pm |u|^{{\alpha }-1}u =0, \qquad x \in \mathbb {R}, \quad t \in \mathbb {R... more
Authors Ryosuke Hyakuna, Masayoshi Tsutsumi
Institution Waseda University
Cites: 14
Cited by: 22
Related to: 10
FWCI: 0.875
Citation percentile (by year/subfield): 89.19
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid