Nonlinear Schrödinger equation and the twisted Laplacian-global well posedness

DOI10.1007/S00209-015-1438-3zbMath1319.35242OpenAlexW2124086443MaRDI QIDQ2349909

P. K. Ratnakumar, Vijay Kumar Sohani

Publication date: 18 June 2015

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-015-1438-3

zbMATH Keywords

conservation lawsnonlinear Schrödinger equationwell posednessStrichartz estimatestwisted Laplacian (special Hermite operator)

Mathematics Subject Classification ID

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) Initial value problems for nonlinear higher-order PDEs (35G25) Blow-up in context of PDEs (35B44) Harmonic analysis and PDEs (42B37)

Related Items (4)

Hardy-Sobolev spaces associated with twisted convolution ⋮ Nonlinear Schrödinger equation for the twisted Laplacian in the critical case ⋮ Sharp estimates for the Schrödinger equation associated with the twisted Laplacian ⋮ Dispersion estimates for the discrete Hermite operator

Cites Work

• Nonlinear Schrödinger equation for the twisted Laplacian
• On a class of nonlinear Schrödinger equations. I. The Cauchy problem, general case
• Harmonic analysis on the Heisenberg group
• Strichartz estimates for the Schrödinger propagator for the Laguerre operator
• On Schrödinger propagator for the special Hermite operator
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