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On the Decay in the Energy Space of Solutions to the Damped Magnetic Radial Schrödinger Equation with Non-Local Nonlinearities

Author

Listed:
  • Taim Saker

    (Institute of Mathematics and Informatics, Bulgarian Academy of Science, Acad. Georgi Bonchev Str., Block 8, 1113 Sofia, Bulgaria
    These authors contributed equally to this work.)

  • Mirko Tarulli

    (Institute of Mathematics and Informatics, Bulgarian Academy of Science, Acad. Georgi Bonchev Str., Block 8, 1113 Sofia, Bulgaria
    Mathematics and Science Department, American University in Bulgaria, 1 Georgi Izmirliev Sq., 2700 Blagoevgrad, Bulgaria
    These authors contributed equally to this work.)

  • George Venkov

    (Department of Mathematical Analysis and Differential Equations, Faculty of Applied Mathematics and Informatics, Technical University of Sofia, 1756 Sofia, Bulgaria
    These authors contributed equally to this work.)

Abstract

We will explore, in any space dimension d ≥ 4 , the decay in the energy space for the damped magnetic Schrödinger equation with non-local nonlinearity and radial initial data in H 1 ( R d ) . We will also display new Morawetz identities and corresponding localized Morawetz estimates.

Suggested Citation

  • Taim Saker & Mirko Tarulli & George Venkov, 2024. "On the Decay in the Energy Space of Solutions to the Damped Magnetic Radial Schrödinger Equation with Non-Local Nonlinearities," Mathematics, MDPI, vol. 12(19), pages 1-13, September.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:19:p:2975-:d:1485363
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