Identification of the time-dependent lowest term in a fourth order in time partial differential equation-Reference-Cited by-同舟云学术

Identification of the time-dependent lowest term in a fourth order in time partial differential equation

Published:2023-06-23 Issue:2 Volume:72 Page:500-511
ISSN:1303-5991
Container-title:Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics
language:en
Short-container-title:Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat.

Author:

TEKİN İbrahim¹^ORCID

Affiliation:

1. ALANYA ALAADDIN KEYKUBAT UNIVERSITY

Abstract

In this article, identification of the time-dependent lowest term in a fourth order in time partial differential equation (PDE) from knowledge of a boundary measurement is studied by means of contraction mapping.

Publisher

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

Subject

General Medicine

Reference22 articles.

1. Arancibia, R., Lecaros, R., Mercado, A., Zamorano, S., An inverse problem for Moore-Gibson-Thompson equation arising in high intensity ultrasound, Journal of Inverse and Ill-posed Problems, 30(5) 82022, 659-675. https://doi.org/10.1515/jiip-2020-0090

2. Chlouverakis, K. E., Sprott, J. C., Chaotic hyperjerk systems, Chaos, Solitons & Fractals, 28(3) (2006), 739-746. https://doi.org/10.1016/j.chaos.2005.08.019

3. Choucha, A., Boulaaras, S., Ouchenane, D., Abdalla, M., Mekawy, I., Benbella, A., Existence and uniqueness for Moore-Gibson-Thompson equation with, source terms, viscoelastic memory and integral condition, AIMS Mathematics, 6(7) (2021), 7585-7624.

4. Conti, M., Pata, V., Quintanilla, R., Thermoelasticity of Moore-Gibson-Thompson type with history dependence in the temperature, Asymptotic Analysis, 120(1-2) (2020), 1-21. https://doi.org/10.3233/ASY-191576

5. Dell’Oro, F., Pata, V., On a fourth-order equation of Moore-Gibson-Thompson type, Milan J. Math., 85 (2017), 215-234.