A new class of critical solutions for 1D cubic NLS

Bulletin des Sciences Mathématiques 2026 Open access

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Authors: Anatole Guérin
DOI: 10.1016/j.bulsci.2026.103939
Cited by: 1
References: 22

Abstract

The aim of this article is to prove the existence of a new class of solutions of 1D cubic NLS with an initial data related to a sum of Dirac masses, of critical regularity $F(L^\infty)$, and belonging to $\dot H^s$ for any $s

Fields of Study & Subjects

Advanced Mathematical Physics Problems Nonlinear Partial Differential Equations Navier-Stokes equation solutions

Publication details

Journal / source
Bulletin des Sciences Mathématiques
Publisher
Elsevier BV
Volume
213
Pages
103939–103939
Publication date
1 September 2026
Language
EN