Kato-type estimates for NLS equation in a scalar field and unique solvability of NKGS system in energy space期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

按检索

Kato-type estimates for NLS equation in a scalar field and unique solvability of NKGS system in energy space

Authors:	Qi-Hong Shi Wan-Tong Li Shu Wang

Institution:	1. School of Mathematics and Statistics, Lanzhou University, Lanzhou, Gansu 730000, People''s Republic of China;2. Department of Basic Courses, Hebei Finance University, Baoding, Hebei 071051, People''s Republic of China;3. College of Applied Sciences, Beijing University of Technology, Beijing 100124, People''s Republic of China

Abstract:	We consider Schrödinger equation in R²⁺¹ $R^{2 + 1}$ with nonlinear scalar potential. The potentials are time-independent or determined as solutions to inhomogeneous wave equations. By constructing a modified propagator, we derive Kato-type smoothing estimates for the nonlinear Schrödinger (NLS) equation. With the help of these results, we prove the unique solvability of the nonlinear Klein–Gordon–Schrödinger (NKGS) system for all time in the energy space.

Keywords:	35A05 35E10 35G25 35L70 81Q05
本文献已被 ScienceDirect 等数据库收录！