Geodesic
Wave equation with internal source and boundary damping terms: global existence and stability
Filomat, Tome 36 (2022) no. 12, p. 4157

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 work, we consider the wave equation with internal source and boundary damping terms. First, we use the stable set method to prove the existence of the global solution. Then, we use some integral inequalities to prove the stability of this solution.
DOI : 10.2298/FIL2212157B
Classification : 35L05, 35B40, 35L70, 93D20
Keywords: Wave equation, Internal source term, Boundary damping term, Local solution, Global solution, Stability 
Imane Boulmerka; Ilhem Hamchi. Wave equation with internal source and boundary damping terms: global existence and stability. Filomat, Tome 36 (2022) no. 12, p. 4157 . doi: 10.2298/FIL2212157B
@article{10_2298_FIL2212157B,
     author = {Imane Boulmerka and Ilhem Hamchi},
     title = {Wave equation with internal source and boundary damping terms: global existence and stability},
     journal = {Filomat},
     pages = {4157 },
     year = {2022},
     volume = {36},
     number = {12},
     doi = {10.2298/FIL2212157B},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2212157B/}
}
TY  - JOUR
AU  - Imane Boulmerka
AU  - Ilhem Hamchi
TI  - Wave equation with internal source and boundary damping terms: global existence and stability
JO  - Filomat
PY  - 2022
SP  - 4157 
VL  - 36
IS  - 12
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2212157B/
DO  - 10.2298/FIL2212157B
LA  - en
ID  - 10_2298_FIL2212157B
ER  - 
%0 Journal Article
%A Imane Boulmerka
%A Ilhem Hamchi
%T Wave equation with internal source and boundary damping terms: global existence and stability
%J Filomat
%D 2022
%P 4157 
%V 36
%N 12
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2212157B/
%R 10.2298/FIL2212157B
%G en
%F 10_2298_FIL2212157B

Cité par Sources :