Geodesic
Decay estimates for a degenerate wave equation with a dynamic fractional feedback acting on the degenerate boundary
Filomat, Tome 35 (2021) no. 10, p. 3219

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

DOI

In this paper, we consider a one-dimensional weakly degenerate wave equation with a dynamic nonlocal boundary feedback of fractional type acting at a degenerate point. First We show well-posedness by using the semigroup theory. Next, we show that our system is not uniformly stable by spectral analysis. Hence, we look for a polynomial decay rate for a smooth initial data by using a result due Borichev and Tomilov which reduces the problem of estimating the rate of energy decay to finding a growth bound for the resolvent of the generator associated with the semigroup. This analysis proves that the degeneracy affect the energy decay rates
DOI : 10.2298/FIL2110219C
Classification : 35B40;35L80, 74D05, 93D15
Keywords: Weakly degenerate wave equation, dynamic nonlocal boundary feedback of fractional type, Bessel functions, Optimal decay rates 
Fatiha Chouaou; Chahira Aichi; Abbes Benaissa. Decay estimates for a degenerate wave equation with a dynamic fractional feedback acting on the degenerate boundary. Filomat, Tome 35 (2021) no. 10, p. 3219 . doi: 10.2298/FIL2110219C
@article{10_2298_FIL2110219C,
     author = {Fatiha Chouaou and Chahira Aichi and Abbes Benaissa},
     title = {Decay estimates for a degenerate wave equation with a dynamic fractional feedback acting on the degenerate boundary},
     journal = {Filomat},
     pages = {3219 },
     year = {2021},
     volume = {35},
     number = {10},
     doi = {10.2298/FIL2110219C},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2110219C/}
}
TY  - JOUR
AU  - Fatiha Chouaou
AU  - Chahira Aichi
AU  - Abbes Benaissa
TI  - Decay estimates for a degenerate wave equation with a dynamic fractional feedback acting on the degenerate boundary
JO  - Filomat
PY  - 2021
SP  - 3219 
VL  - 35
IS  - 10
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2110219C/
DO  - 10.2298/FIL2110219C
LA  - en
ID  - 10_2298_FIL2110219C
ER  - 
%0 Journal Article
%A Fatiha Chouaou
%A Chahira Aichi
%A Abbes Benaissa
%T Decay estimates for a degenerate wave equation with a dynamic fractional feedback acting on the degenerate boundary
%J Filomat
%D 2021
%P 3219 
%V 35
%N 10
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2110219C/
%R 10.2298/FIL2110219C
%G en
%F 10_2298_FIL2110219C

Cité par Sources :