Sharp Condition for Inhomogeneous Nonlinear Schrödinger Equations by Cross-Invariant Manifolds

被引：0
作者：
Qiang Lin
Chao Yang
机构：
[1] Harbin Engineering University,College of Intelligent Systems Science and Engineering
[2] University of Craiova,Department of Mathematics
[3] China-Romania Research Center in Applied Mathematics,College of Mathematical Sciences
[4] Harbin Engineering University,Faculty of Applied Mathematics
[5] AGH University of Science and Technology,undefined
来源：
The Journal of Geometric Analysis | 2022年 / 32卷
关键词：
Inhomogeneous nonlinear Schrödinger equation; Sharp condition; Cross-invariant manifolds; Global existence; Finite time blowup; Primary 35Q55; 35A01; Secondary 35B44;
D O I：
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学科分类号：
摘要：
In this paper, we study a class of cross constrained variational problem for the inhomogeneous nonlinear Schrödinger equation in RN\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb {R}}^N$$\end{document}. By constructing cross-invariant manifolds, we derive a sharp condition for blow-up phenomenon and global well-posedness of solutions.
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