Well-posedness for a system of quadratic derivative nonlinear Schrödinger equations with radial initial data

DOI10.1007/s00023-020-00931-3zbMath1447.35295arXiv1811.08324OpenAlexW3100198994MaRDI QIDQ2195863

Shinya Kinoshita, Hiroyuki Hirayama, Mamoru Okamoto

Publication date: 28 August 2020

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.08324

zbMATH Keywords

nonlinear Schrödinger equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) KdV equations (Korteweg-de Vries equations) (35Q53) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) A priori estimates in context of PDEs (35B45) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (2)

Well-posedness for a system of quadratic derivative nonlinear Schrödinger equations in almost critical spaces ⋮ A remark on the well-posedness for a system of quadratic derivative nonlinear Schrödinger equations

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