Work

Linear stabilization for a degenerate wave equation in non divergence form with drift

Year: 2025

Type: article

Abstract: We consider a degenerate wave equation in one dimension, with drift and in presence of a leading operator which is not in divergence form. We impose a homogeneous Dirichlet boundary condition where the degeneracy occurs and a boundary damping at the other endpoint. We provide some conditions for the uniform exponential decay of solutions for the associated Cauchy problem.

Source: Bulletin of Mathematical Sciences

DOI: 10.1142/s1664360725500018

Authors: Genni Fragnelli, Dimitri Mugnai

Institutions: University of Siena, Università degli Studi della Tuscia

Language: English

Topic: Stability and Controllability of Differential Equations

Subfield: Control and Systems Engineering

Field: Engineering

Domain: Physical Sciences

Open Access status: diamond

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni, HORIZON EUROPE Framework Programme

OpenAlex ID: W4406250825

FWCI: 3.466

Cites: 18

Cited by: 14

Related to: 10