一类拟线性薛定谔方程的多重扰动问题

数学物理学报 ›› 2020, Vol. 40 ›› Issue (4): 869-881.

一类拟线性薛定谔方程的多重扰动问题

韩晓丽()

^{天津大学应用数学中心天津 300072}

收稿日期:2019-11-05 出版日期:2020-08-26 发布日期:2020-08-20
作者简介:韩晓丽, E-mail:hxl_math798@163.com
基金资助:
国家科学基金(11771324);国家科学基金(11831009)

Multiple Pertubations to a Quasilinear Schrödinger Equation

Xiaoli Han()

^{Center of Applied Mathematics, School of Mathematics, Tianjin University, Tianjin 300072}

Received:2019-11-05 Online:2020-08-26 Published:2020-08-20
Supported by:
the NSFC(11771324);the NSFC(11831009)

摘要/Abstract

摘要：

该文研究了一类含有位势项、Hartree项和多重非线性项的拟线性薛定谔方程的初值问题，得到解的全局存在和有限时刻爆破的充分性条件.

关键词: 拟线性薛定谔方程, 全局存在, 有限时刻爆破

Abstract:

In this paper, we will deal with the Cauchy problem of a class of quasilinear Schrödinger equations. The main goal is to obtain some sufficient conditions on the blow up in finite time and global existence of the solution.

Key words: Quasilinear Schrödinger equation, Global existence, Blow-up

中图分类号:

O175.2

韩晓丽. 一类拟线性薛定谔方程的多重扰动问题[J]. 数学物理学报, 2020, 40(4): 869-881.

Xiaoli Han. Multiple Pertubations to a Quasilinear Schrödinger Equation[J]. Acta mathematica scientia,Series A, 2020, 40(4): 869-881.

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