Well-posedness and smoothing effect for generalized nonlinear Schrödinger equations

DOI10.2140/apde.2018.11.1241OpenAlexW2610664951MaRDI QIDQ1747206

Abdesslam Boulkhemair, Pierre-Yves Bienaimé

Publication date: 4 May 2018

Published in: Analysis \& PDE (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/apde.2018.11.1241

zbMATH Keywords

Cauchy problemwell-posednessnonlinear equationoperatorsmoothing effectSchrödingerpseudodifferentialparalinearizationparadifferential

Mathematics Subject Classification ID

Integro-differential operators (47G20) Pseudodifferential operators (47G30)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Quasilinear Schrödinger equations. I: Small data and quadratic interactions
• Local existence and smoothing effect for nonlinear equations of Schrödinger type
• The Cauchy problem for quasi-linear Schrödinger equations
• The general quasilinear ultrahyperbolic Schrödinger equation
• Large data local solutions for the derivative NLS equation
• Smoothing effects and local existence theory for the generalized nonlinear Schrödinger equations
• On the Cauchy problem for Schrödinger type equations and the regularity of solutions
• Quasilinear Schrödinger equations. II: Small data and cubic nonlinearities
• Variable coefficient Schrödinger flows for ultrahyperbolic operators
• Kato Smoothing Effect for Schrödinger Operator
• Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires
• ON THE FEFFERMAN–PHONG INEQUALITY AND RELATED PROBLEMS

This page was built for publication: Well-posedness and smoothing effect for generalized nonlinear Schrödinger equations