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

被引：1

作者：

Fragnelli, Genni ^{[1
]}

Mugnai, Dimitri ^{[2
]}

机构：

[1] Univ Siena, Dept Informat Engn & Math, via Roma 56, I-53100 Siena, Italy

[2] Tuscia Univ, Dept Ecol & Biol Sci, Largo Univ, I-01100 Viterbo, Italy

来源：

BULLETIN OF MATHEMATICAL SCIENCES | 2025年

关键词：

Degenerate wave equation; drift; stabilization; exponential decay; NULL CONTROLLABILITY; ASYMPTOTIC STABILITY; NONDIVERGENCE FORM; OPERATORS;

D O I：

10.1142/S1664360725500018

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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.

引用

页数：27

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