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.
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页数：27
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