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

Heiko J. Zwart, Yann Le Gorrec, B.M. Maschke

    Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

    5 Citations (Scopus)

    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 Schrodinger equation.
    Original languageUndefined
    Title of host publicationProceedings of the 50th IEEE Conference on Decision and Control and European Control Conference (CDC-ECC)
    Place of PublicationUSA
    PublisherIEEE CONTROL SYSTEMS SOCIETY
    Pages4921-4924
    Number of pages4
    ISBN (Print)978-1-4673-0457-3
    Publication statusPublished - Dec 2011
    Event50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011 - USA, United States
    Duration: 12 Dec 201115 Dec 2011
    Conference number: 50

    Publication series

    Name
    PublisherIEEE Control Systems Society

    Conference

    Conference50th IEEE Conference on Decision and Control and European Control Conference, CDC-ECC 2011
    Abbreviated titleCDC-ECC
    CountryUnited States
    CityUSA
    Period12/12/1115/12/11

    Keywords

    • METIS-284992
    • EWI-21240
    • IR-79469

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