Local well-posedness for a quasilinear Schroedinger equation with degenerate dispersion

DOI10.1512/iumj.2022.71.8987zbMath1502.35153arXiv2004.04134OpenAlexW4294904039MaRDI QIDQ5050606

Benjamin Harrop-Griffiths, Jeremy L. Marzuola

Publication date: 17 November 2022

Published in: Indiana University Mathematics Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.04134

zbMATH Keywords

quasilinear Schrödinger equation

Mathematics Subject Classification ID

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) Quasilinear parabolic equations (35K59)

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