Some Existence and Exponential Stability Results for a Plate Equation with Strong Damping and a Logarithmic Source Term

Mohammad M. Al-Gharabli; Aissa Guesmia; Salim A. Messaoudi

doi:10.1007/s12591-022-00625-8

Some Existence and Exponential Stability Results for a Plate Equation with Strong Damping and a Logarithmic Source Term

Mohammad M. Al-Gharabli^*
, Aissa Guesmia
, Salim A. Messaoudi

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

In this paper, we consider a plate equation with a strong damping and a logarithmic nonlinearity. Using the Galerkin method, we establish the existence of the solutions of the problem and we prove an exponential decay result, using the multiplier method. This result extends and improves many results in the literature.

Original language	English
Pages (from-to)	1225-1239
Number of pages	15
Journal	Differential Equations and Dynamical Systems
Volume	32
Issue number	4
DOIs	https://doi.org/10.1007/s12591-022-00625-8
State	Published - Oct 2024

Bibliographical note

Publisher Copyright:
© Foundation for Scientific Research and Technological Innovation 2022.

ASJC Scopus subject areas

Analysis
Applied Mathematics

Access to Document

10.1007/s12591-022-00625-8

Cite this

@article{99b64874a3a3455c9b16dd6b4d04d850,

title = "Some Existence and Exponential Stability Results for a Plate Equation with Strong Damping and a Logarithmic Source Term",

abstract = "In this paper, we consider a plate equation with a strong damping and a logarithmic nonlinearity. Using the Galerkin method, we establish the existence of the solutions of the problem and we prove an exponential decay result, using the multiplier method. This result extends and improves many results in the literature.",

author = "Al-Gharabli, \{Mohammad M.\} and Aissa Guesmia and Messaoudi, \{Salim A.\}",

note = "Publisher Copyright: {\textcopyright} Foundation for Scientific Research and Technological Innovation 2022.",

year = "2024",

month = oct,

doi = "10.1007/s12591-022-00625-8",

language = "English",

volume = "32",

pages = "1225--1239",

journal = "Differential Equations and Dynamical Systems",

issn = "0971-3514",

publisher = "Springer International Publishing AG",

number = "4",

}

TY - JOUR

T1 - Some Existence and Exponential Stability Results for a Plate Equation with Strong Damping and a Logarithmic Source Term

AU - Al-Gharabli, Mohammad M.

AU - Guesmia, Aissa

AU - Messaoudi, Salim A.

PY - 2024/10

Y1 - 2024/10

N2 - In this paper, we consider a plate equation with a strong damping and a logarithmic nonlinearity. Using the Galerkin method, we establish the existence of the solutions of the problem and we prove an exponential decay result, using the multiplier method. This result extends and improves many results in the literature.

AB - In this paper, we consider a plate equation with a strong damping and a logarithmic nonlinearity. Using the Galerkin method, we establish the existence of the solutions of the problem and we prove an exponential decay result, using the multiplier method. This result extends and improves many results in the literature.

UR - https://www.scopus.com/pages/publications/85144281388

U2 - 10.1007/s12591-022-00625-8

DO - 10.1007/s12591-022-00625-8

M3 - Article

AN - SCOPUS:85144281388

SN - 0971-3514

VL - 32

SP - 1225

EP - 1239

JO - Differential Equations and Dynamical Systems

JF - Differential Equations and Dynamical Systems

IS - 4

ER -

Some Existence and Exponential Stability Results for a Plate Equation with Strong Damping and a Logarithmic Source Term

Abstract

Bibliographical note

ASJC Scopus subject areas

Access to Document

Fingerprint

Cite this