On the decay of a nonlinear wave equation with delay

Mohammad Kafini

doi:10.1007/s11565-021-00366-6

On the decay of a nonlinear wave equation with delay

Mohammad Kafini^*

^*Corresponding author for this work

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

7 Scopus citations

Abstract

In this paper we consider wave equation with logarithmic nonlinearity and distributive internal delay. We establish the local existence result using the semigroup theory whereas the global existence by the well-depth method. Finally, under suitable assumptions on the weight of the delay and that of frictional damping, we prove that the system is exponentially stable.

Original language	English
Pages (from-to)	309-325
Number of pages	17
Journal	Annali dell'Universita di Ferrara
Volume	67
Issue number	2
DOIs	https://doi.org/10.1007/s11565-021-00366-6
State	Published - Nov 2021

Bibliographical note

Publisher Copyright:
© 2021, Università degli Studi di Ferrara.

Keywords

Decay
Delay
Logarithmic source
Wave equation
Well depth

ASJC Scopus subject areas

General Mathematics

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10.1007/s11565-021-00366-6

Cite this

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abstract = "In this paper we consider wave equation with logarithmic nonlinearity and distributive internal delay. We establish the local existence result using the semigroup theory whereas the global existence by the well-depth method. Finally, under suitable assumptions on the weight of the delay and that of frictional damping, we prove that the system is exponentially stable.",

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AB - In this paper we consider wave equation with logarithmic nonlinearity and distributive internal delay. We establish the local existence result using the semigroup theory whereas the global existence by the well-depth method. Finally, under suitable assumptions on the weight of the delay and that of frictional damping, we prove that the system is exponentially stable.

KW - Decay

KW - Delay

KW - Logarithmic source

KW - Wave equation

KW - Well depth

UR - https://www.scopus.com/pages/publications/85106532888

U2 - 10.1007/s11565-021-00366-6

DO - 10.1007/s11565-021-00366-6

M3 - Article

AN - SCOPUS:85106532888

SN - 0430-3202

VL - 67

SP - 309

EP - 325

JO - Annali dell'Universita di Ferrara

JF - Annali dell'Universita di Ferrara

IS - 2

ER -

On the decay of a nonlinear wave equation with delay

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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Cite this