Scattering in the Energy Space for Solutions of the Damped Nonlinear Schrödinger Equation on Rd×T
We will show, in any space dimension d≥3, the decay and scattering in the energy space for the solution to the damped nonlinear Schrödinger equation posed on Rd×T and initial data in H1(Rd×T). We will also derive new bilinear Morawetz identities and corresponding localized Morawetz estimates.
Authors
- Mirko Tarulli (ORCID: https://orcid.org/0000-0001-5397-590X)
- George Venkov (ORCID: https://orcid.org/0000-0001-7163-3508)
- Taim Saker
Institutions
- American University in Bulgaria (BG)
- Technical University of Sofia (BG)
- Institute of Mathematics and Informatics (BG)
Publication Details
- Journal
- Axioms
- Published
- 2025-06-06
- DOI
- https://doi.org/10.3390/axioms14060447
- Primary Topic
- Advanced Mathematical Physics Problems
- Type
- article
- Field-Weighted Citation Impact
- 0.00