On a class of solutions to the generalized derivative Schrödinger equations

DOI10.1007/s10114-019-7540-4zbMath1420.35365arXiv1712.00663OpenAlexW2964085030MaRDI QIDQ2311729

Gleison N. Santos, Gustavo Ponce, Felipe Linares

Publication date: 4 July 2019

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.00663

zbMATH Keywords

local well-posednessderivative nonlinear Schrödinger

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Time-dependent Schrödinger equations and Dirac equations (35Q41) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (9)

Local well-posedness for a fractional KdV-type equation ⋮ Well-posedness in weighted spaces for the generalized Hartree equation with p < 2 ⋮ Well-posedness and dynamics of solutions to the generalized KdV with low power nonlinearity ⋮ Optimal small data scattering for the generalized derivative nonlinear Schrödinger equations ⋮ \(L^2\)-decay rate for special solutions to critical dissipative nonlinear Schrödinger equations ⋮ Instability of solitary wave solutions for the nonlinear Schrödinger equation of derivative type in degenerate case ⋮ Spatial behavior for NLS and applications to scattering ⋮ Local smooth solutions of the nonlinear Klein-Gordon equation ⋮ On a class of solutions to the generalized KdV type equation

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