Minimal-mass blow-up solutions for inhomogeneous nonlinear Schrödinger equations with growing potentials

DOI10.4310/ARKIV.2023.V61.N2.A7zbMath1527.35388arXiv2108.06205OpenAlexW4388642451MaRDI QIDQ6090794

Naoki Matsui

Publication date: 20 November 2023

Published in: Arkiv för Matematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2108.06205

zbMATH Keywords

blow-upnonlinear Schrödinger equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Blow-up in context of PDEs (35B44) Time-dependent Schrödinger equations and Dirac equations (35Q41) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

This page was built for publication: Minimal-mass blow-up solutions for inhomogeneous nonlinear Schrödinger equations with growing potentials