Standing waves and global well-posedness for the 2d Hartree equation with a point interaction

IF 2.1 2区 数学 Q1 MATHEMATICS Communications in Partial Differential Equations Pub Date : 2024-04-27 DOI:10.1080/03605302.2024.2338534
Vladimir Georgiev, Alessandro Michelangeli, Raffaele Scandone
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Abstract

We study a class of two-dimensional nonlinear Schrödinger equations with point-like singular perturbation and Hartree non-linearity. The point-like singular perturbation of the free Laplacian induc...
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来源期刊
CiteScore
3.60
自引率
0.00%
发文量
43
审稿时长
6-12 weeks
期刊介绍: This journal aims to publish high quality papers concerning any theoretical aspect of partial differential equations, as well as its applications to other areas of mathematics. Suitability of any paper is at the discretion of the editors. We seek to present the most significant advances in this central field to a wide readership which includes researchers and graduate students in mathematics and the more mathematical aspects of physics and engineering.
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