Local existence and smoothing effect for nonlinear equations of Schrödinger type

DOI10.4171/RMI/799zbMath1303.35093OpenAlexW2028723057MaRDI QIDQ461281

Pierre-Yves Bienaimé

Publication date: 10 October 2014

Published in: Revista Matemática Iberoamericana (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/rmi/799

zbMATH Keywords

local existencesmoothing effectfractional Sobolev spacesBony's paralinearization methodnonlinear generalized Schrödinger type equationspseudo-differential and paradifferential operator

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) General theory of partial differential operators (47F05) NLS equations (nonlinear Schrödinger equations) (35Q55) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Continuous and differentiable maps in nonlinear functional analysis (46T20) Pseudodifferential operators (47G30) Time-dependent Schrödinger equations and Dirac equations (35Q41) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

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