Item request has been placed! ×
Item request cannot be made. ×
loading  Processing Request

Geometric Optics and Instability for Semi-Classical Schrödinger Equations: Geometric optics and instability for semi-classical Schrödinger equations

Item request has been placed! ×
Item request cannot be made. ×
loading   Processing Request
Read Online Read More Add to Saved list
  • Additional Information
    • Contributors:
      Carles, Rémi
    • Publication Information:
      Preprint
    • Publication Information:
      Springer Science and Business Media LLC, 2006.
    • Publication Date:
      2006
    • Abstract:
      We prove some instability phenomena for semi-classical (linear or) nonlinear Schrodinger equations. For some perturbations of the data, we show that for very small times, we can neglect the Laplacian, and the mechanism is the same as for the corresponding ordinary differential equation. Our approach allows smaller perturbations of the data, where the instability occurs for times such that the problem cannot be reduced to the study of an o.d.e.
      22 pages. Corollary 1.7 added
    • File Description:
      application/xml
    • ISSN:
      1432-0673
      0003-9527
    • Accession Number:
      10.1007/s00205-006-0017-5
    • Accession Number:
      10.48550/arxiv.math/0505468
    • Rights:
      Springer TDM
      arXiv Non-Exclusive Distribution
    • Accession Number:
      edsair.doi.dedup.....d95056bf10fa0cf555ea4914c702b98a