IDEAS home Printed from https://ideas.repec.org/a/spr/joptap/v165y2015i1d10.1007_s10957-014-0606-7.html
   My bibliography  Save this article

Time Optimal Controls of Semilinear Heat Equation with Switching Control

Author

Listed:
  • Lijuan Wang

    (Wuhan University)

  • Qishu Yan

    (Wuhan University)

Abstract

This paper is concerned with the bang-bang property of time optimal controls, governed by a semilinear heat equation in a bounded domain with switching controls acting locally into two open subsets. The proofs rely on an observability estimate from a positive measurable set in time for the linear heat equation, and a Kakutani fixed point argument.

Suggested Citation

  • Lijuan Wang & Qishu Yan, 2015. "Time Optimal Controls of Semilinear Heat Equation with Switching Control," Journal of Optimization Theory and Applications, Springer, vol. 165(1), pages 263-278, April.
    • Handle: RePEc:spr:joptap:v:165:y:2015:i:1:d:10.1007_s10957-014-0606-7
    DOI: 10.1007/s10957-014-0606-7
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s10957-014-0606-7
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s10957-014-0606-7?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. J. P. Raymond & H. Zidani, 1999. "Pontryagin's Principle for Time-Optimal Problems," Journal of Optimization Theory and Applications, Springer, vol. 101(2), pages 375-402, May.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Jinman Lv & Zhenhua Peng & Zhongping Wan, 2021. "Optimality Conditions, Qualifications and Approximation Method for a Class of Non-Lipschitz Mathematical Programs with Switching Constraints," Mathematics, MDPI, vol. 9(22), pages 1-20, November.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. B. T. Kien & V. H. Nhu & A. Rösch, 2015. "Second-Order Necessary Optimality Conditions for a Class of Optimal Control Problems Governed by Partial Differential Equations with Pure State Constraints," Journal of Optimization Theory and Applications, Springer, vol. 165(1), pages 30-61, April.
    2. B. T. Kien & A. Rösch & D. Wachsmuth, 2017. "Pontryagin’s Principle for Optimal Control Problem Governed by 3D Navier–Stokes Equations," Journal of Optimization Theory and Applications, Springer, vol. 173(1), pages 30-55, April.
    3. Lijuan Wang, 2021. "Minimal Time Impulse Control Problem of Semilinear Heat Equation," Journal of Optimization Theory and Applications, Springer, vol. 188(3), pages 805-822, March.

    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:joptap:v:165:y:2015:i:1:d:10.1007_s10957-014-0606-7. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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.