Work

Scattering in the Energy Space for Solutions of the Damped Nonlinear Schrödinger Equation on Rd×T

Year: 2025

Type: article

Abstract: We will show, in any space dimension d≥1, 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 derive also new bilinear Morawetz identities and corresponding localized Morawetz estimates.

Source: Axioms

DOI: 10.3390/axioms14060447

Authors: Mirko Tarulli, George Venkov, Taim Saker

Institutions: American University in Bulgaria, Bulgarian Academy of Sciences, Institute of Mathematics and Informatics, Technical University of Sofia

Language: English

Topic: Advanced Mathematical Physics Problems

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,896

OpenAlex ID: W4411077570

FWCI: 1.608

Cites: 19

Cited by: 1

Related to: 10