Asymptotic analysis of the biharmonic Schrödinger equation with fractional damping

Boundary Value Problems 2026 Open access

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Authors: Khadidja Fekirini, Naima Louhibi, Ibrahim Meradjah, Salah Boulaaras, Mohamed Hocine Braiki
DOI: 10.1186/s13661-025-02206-4
Cited by: 1
References: 15

Abstract

In this paper, we study the decay behavior of solutions to the biharmonic Schrödinger equation under the effect of internal fractional damping. By employing semigroup theory and energy methods, we establish well-posedness results and investigate the long-time behavior of solutions. In particular, we prove polynomial stability under suitable assumptions on the damping mechanism. Our results contribute to the understanding of how fractional damping influences the decay rate and stability of higher-order dispersive equations. These findings have potential applications in mathematical physics and control theory.

Fields of Study & Subjects

Advanced Mathematical Physics Problems Nonlinear Waves and Solitons Stability and Controllability of Differential Equations

Publication details

Journal / source
Boundary Value Problems
Publisher
Springer Science and Business Media LLC
Volume
2026
Issue
1
Publication date
6 January 2026
Language
EN