IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-319-66456-9_13.html
   My bibliography  Save this book chapter

Phase Space Analysis and Smoothing for Schrödinger Equations

In: Methods for Partial Differential Equations

Author

Listed:
  • Marcelo R. Ebert

    (University of São Paulo, Department of Computing and Mathematics)

  • Michael Reissig

    (TU Bergakademie Freiberg, Institute of Applied Analysis)

Abstract

Consider this chapter as a brief introduction to some properties of solutions to the classical Schrödinger equation with or without mass term. We continue the discussion of L p − L q estimates for this special example of a dispersive equation. In particular, we explain differences between expected results for the Schrödinger equation and for those the heat equation. In addition to these applications of phase space analysis we discuss the topic “Smoothing effect” for solutions, local and global smoothing as well.

Suggested Citation

  • Marcelo R. Ebert & Michael Reissig, 2018. "Phase Space Analysis and Smoothing for Schrödinger Equations," Springer Books, in: Methods for Partial Differential Equations, chapter 0, pages 181-189, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-66456-9_13
    DOI: 10.1007/978-3-319-66456-9_13
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:sprchp:978-3-319-66456-9_13. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.