A STUDY OF A SUPERLINEAR PARABOLIC DIRICHLET PROBLEM WITH UNKNOWN COEFFICIENT

Iqbal M. Batiha; Taki Eddine Oussaeif; Amal Benguesmia; Ahmad A. Abubaker; Adel Ouannas; Shaher Momani

doi:10.24507/ijicic.20.02.541

A STUDY OF A SUPERLINEAR PARABOLIC DIRICHLET PROBLEM WITH UNKNOWN COEFFICIENT

Iqbal M. Batiha
, Taki Eddine Oussaeif
, Amal Benguesmia
, Ahmad A. Abubaker
, Adel Ouannas
, Shaher Momani

Nonlinear Dynamic Research Centre (NDRC)

Al-Zaytoonah University of Jordan
Department of Mathematics and Informatics Oum El Bouaghi University
Arab Open University
University of Jordan

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

12 Scopus citations

Abstract

In this paper, we purpose to investigate the inverse problem of a superlinear parabolic Dirichlet equation with a supplementary integral over determination condition. In this connection, we use the energy inequality for the solvability of direct problem and the fixed point technique for the inverse problem. More particularly, the present paper is devoted to studying the existence and uniqueness of the solution for the inverse problem of the superlinear parabolic Dirichlet equation with integral condition of second type by reducing the problem to fixed point principle. This target would be achieved by applying the energy inequality method.

Original language	English
Pages (from-to)	541-556
Number of pages	16
Journal	International Journal of Innovative Computing, Information and Control
Volume	20
Issue number	2
DOIs	https://doi.org/10.24507/ijicic.20.02.541
State	Published - Apr 2024

Keywords

Energy inequality method
Fixed point theorem
Inverse nonlinear problem
Nonlocal integral condition
Superlinear parabolic Dirichlet equation

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10.24507/ijicic.20.02.541

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title = "A STUDY OF A SUPERLINEAR PARABOLIC DIRICHLET PROBLEM WITH UNKNOWN COEFFICIENT",

abstract = "In this paper, we purpose to investigate the inverse problem of a superlinear parabolic Dirichlet equation with a supplementary integral over determination condition. In this connection, we use the energy inequality for the solvability of direct problem and the fixed point technique for the inverse problem. More particularly, the present paper is devoted to studying the existence and uniqueness of the solution for the inverse problem of the superlinear parabolic Dirichlet equation with integral condition of second type by reducing the problem to fixed point principle. This target would be achieved by applying the energy inequality method.",

keywords = "Energy inequality method, Fixed point theorem, Inverse nonlinear problem, Nonlocal integral condition, Superlinear parabolic Dirichlet equation",

author = "Batiha, \{Iqbal M.\} and Oussaeif, \{Taki Eddine\} and Amal Benguesmia and Abubaker, \{Ahmad A.\} and Adel Ouannas and Shaher Momani",

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AU - Batiha, Iqbal M.

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AU - Benguesmia, Amal

AU - Abubaker, Ahmad A.

AU - Ouannas, Adel

AU - Momani, Shaher

PY - 2024/4

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AB - In this paper, we purpose to investigate the inverse problem of a superlinear parabolic Dirichlet equation with a supplementary integral over determination condition. In this connection, we use the energy inequality for the solvability of direct problem and the fixed point technique for the inverse problem. More particularly, the present paper is devoted to studying the existence and uniqueness of the solution for the inverse problem of the superlinear parabolic Dirichlet equation with integral condition of second type by reducing the problem to fixed point principle. This target would be achieved by applying the energy inequality method.

KW - Energy inequality method

KW - Fixed point theorem

KW - Inverse nonlinear problem

KW - Nonlocal integral condition

KW - Superlinear parabolic Dirichlet equation

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JF - International Journal of Innovative Computing, Information and Control

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ER -

A STUDY OF A SUPERLINEAR PARABOLIC DIRICHLET PROBLEM WITH UNKNOWN COEFFICIENT

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