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

共 50 条

[31] Exponential stabilization of semi-linear wave equation
El Alami, Abdessamad
Zine, Rabie
ITALIAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2020, (44): : 995 - 1002
[32] SATURATED BOUNDARY FEEDBACK STABILIZATION OF A LINEAR WAVE EQUATION
Xu, Cheng-Zhong
Xu, Gen Qi
SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2019, 57 (01) : 290 - 309
[33] Exponential stabilization of semi-linear wave equation
El Alami, Abdessamad
Zine, Rabie
Zine, Rabie (rabie.zine@gmail.com), 1600, Forum-Editrice Universitaria Udinese SRL (44): : 995 - 1002
[34] New Liouville theorems for linear second order degenerate elliptic equations in divergence form
Moschini, L
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE, 2005, 22 (01): : 11 - 23
[35] ON THE PROPAGATION PROPERTIES OF A NON-LINEAR DEGENERATE PARABOLIC EQUATION
HERRERO, MA
VAZQUEZ, JL
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 1982, 7 (12) : 1381 - 1402
[36] Non-linear operators of divergence form on the Sierpinski gasket
Lee, Ki-Ahm
Park, Sungha
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2023, 232
[37] DECAY OF SOLUTIONS OF A DEGENERATE NON-LINEAR DIFFUSION EQUATION
BERTSCH, M
NANBU, T
PELETIER, LA
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1982, 6 (06) : 539 - 554
[38] APPLICATION OF WEAK STABILIZATION THEORY FOR DEGENERATE PARABOLIC EQUATIONS IN DIVERGENCE FORM TO A CHEMOTAXIS MODEL FOR TUMOR INVASION
Ishida, Sachiko
Yokota, Tomomi
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B, 2023, 28 (10): : 5296 - 5306
[39] NULL CONTROLLABILITY OF DEGENERATE PARABOLIC EQUATIONS IN NON DIVERGENCE FORM VIA CARLEMAN ESTIMATES
Fragnelli, Genni
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2013, 6 (03): : 687 - 701
[40] Stabilization for degenerate equations with drift and small singular term
Fragnelli, Genni
Mugnai, Dimitri
Sbai, Amine
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2025, 48 (04) : 5086 - 5109

← 1 2 3 4 5 →