• DocumentCode
    3425603
  • Title

    Linking hyperbolic and parabolic p.d.e.´s

  • Author

    Zwart, Hans ; Le Gorrec, Yann ; Maschke, Bernhard

  • Author_Institution
    Dept. of Appl. Math., Univ. of Twente, Enschede, Netherlands
  • fYear
    2011
  • fDate
    12-15 Dec. 2011
  • Firstpage
    4921
  • Lastpage
    4924
  • Abstract
    In this article we show that from the existence and uniqueness of solutions to a hyperbolic partial differential equation (p.d.e.) existence and uniqueness of parabolic and other hyperbolic p.d.e.´s can be derived. Among others, we show that starting with the (undamped) wave equation we obtain existence and uniqueness of solutions for the uniform elliptic p.d.e.´s and for the Schrödinger equation.
  • Keywords
    Schrodinger equation; elliptic equations; hyperbolic equations; parabolic equations; Schrödinger equation; hyperbolic PDE; hyperbolic partial differential equation; parabolic PDE; parabolic partial differential equation; uniform elliptic PDE; wave equation; Damping; Equations; Heating; Hilbert space; Mathematical model; Propagation;
  • fLanguage
    English
  • Publisher
    ieee
  • Conference_Titel
    Decision and Control and European Control Conference (CDC-ECC), 2011 50th IEEE Conference on
  • Conference_Location
    Orlando, FL
  • ISSN
    0743-1546
  • Print_ISBN
    978-1-61284-800-6
  • Electronic_ISBN
    0743-1546
  • Type

    conf

  • DOI
    10.1109/CDC.2011.6160422
  • Filename
    6160422
    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=49&DC=3425603