BLOW-UP IN SEVERAL POINTS FOR THE NONLINEAR SCHRODINGER EQUATION ON A BOUNDED DOMAIN

NICOLAS GODET

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BLOW-UP IN SEVERAL POINTS FOR THE NONLINEAR SCHRODINGER EQUATION ON A BOUNDED DOMAIN

机译：有界域上非线性Schrodinger方程的几个点爆破

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摘要

Given p points in a bounded domain of Rd, with d = 2,3, we show the existence of solutions of the L~2-critical focusing nonlinear Schrodinger equation blowing up exactly at these points.

机译：给定在Rd的有界域中的p个点，d = 2,3，我们证明存在L〜2临界聚焦非线性Schrodinger方程的解正好在这些点处爆炸。

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来源
《Differential and integral equations》 |2011年第6期|共13页
作者
NICOLAS GODET;
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原文格式 PDF
正文语种 eng
中图分类微分方程、积分方程;
关键词
SEVERAL; BOUNDED DOMAIN; SCHRODINGER EQUATION;

机译：几个;有界域;薛定ER方程;

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专利

1. BLOW-UP IN SEVERAL POINTS FOR THE NONLINEAR SCHRODINGER EQUATION ON A BOUNDED DOMAIN [J] . NICOLAS GODET Differential and integral equations . 2011,第5a6期

机译：有界域上非线性Schrodinger方程的几个点爆破
2. Sharp upper and lower bounds on the blow-up rate for nonlinear Schrodinger equation with potential [J] . Zhu SH, Li XG Applied mathematics and computation . 2007,第2期

机译：带电势的非线性薛定inger方程爆破率的上界和下界
3. Upper and lower bound of the blow-up rate for nonlinear Schrodinger equation with a harmonic potential [J] . Liu Q, Zhou YQ, Zhang J Applied mathematics and computation . 2006,第2期

机译：具有谐波势的非线性薛定inger方程爆破率的上界和下界
4. Compact Splitting Multisymplectic Scheme for the Coupled Nonlinear Schrodinger Equations on Unbounded Domains [C] . Zhaohui Dai, Shanshan Jiang International Conference on Numerical Analysis and Applied Mathematics . 2015

机译：耦合非线性Schrodinger方程的紧凑型分离多相系统方案在无限域上
5. Nonlinear Schrodinger equations with potentials: Evolution, existence and stability of semiclassical bound states. [D] . Oh, Yong-Geun. 1988

机译：具有势能的非线性Schrodinger方程：半经典束缚态的演化，存在和稳定性。
6. Blow-up of solutions of nonlinear wave equations in three space dimensions [O] . Fritz John 1979

机译：三维空间中非线性波动方程解的爆破
7. Normalized bound states for the nonlinear Schrodinger equation in bounded domains [O] . Pierotti, Dario, Verzini, Gianmaria 2016

机译：非线性薛定谔方程的归一化束缚态有界域

BLOW-UP IN SEVERAL POINTS FOR THE NONLINEAR SCHRODINGER EQUATION ON A BOUNDED DOMAIN

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