An introduction to the two-dimensional Schrodinger equation with nonlinear point interactions

被引：2

作者：

Carlone, R. ^{[1
]}

Correggi, M. ^{[2
]}

Tentarelli, L. ^{[2
]}

机构：

[1] Univ Federico II Napoli, Dipartimento Matemat & Applicaz R Caccioppoli, MSA, Via Cinthia, I-80126 Naples, Italy

[2] Sapienza Univ Roma, Dipartimento Matemat, Ple Aldo Moro 5, I-00185 Rome, Italy

来源：

NANOSYSTEMS-PHYSICS CHEMISTRY MATHEMATICS | 2018年 / 9卷 / 02期

关键词：

nonlinear Schrodinger equation; nonlinear delta interactions;

D O I：

10.17586/2220-8054-2018-9-2-187-195

中图分类号：

TB3 [工程材料学];

学科分类号：

0805 ; 080502 ;

摘要：

We present an introduction to the nonlinear Schrodinger equation (NLSE) with concentrated nonlinearities in R 2. Precisely, taking a cue from the linear problem, we sketch the main challenges and the typical difficulties that arise in the two-dimensional case, and mention some recent results obtained by the authors on local and global well-posedness.

引用

页码：187 / 195

页数：9

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