Sharp well-posedness for the cubic NLS and mKdV in

DOI10.1017/fmp.2024.4arXiv2003.05011OpenAlexW4393628626MaRDI QIDQ6131698

Monica Visan, Rowan Killip, Benjamin Harrop-Griffiths

Publication date: 18 April 2024

Published in: Forum of Mathematics, Pi (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.05011

zbMATH Keywords

well-posednessnonlinear Schrödinger equationmodified Korteweg–de Vries equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Soliton solutions (35C08) 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: Sharp well-posedness for the cubic NLS and mKdV in