A priori estimate and numerical study of solution for a parabolic equation with nonlinear integral condition
by Chebana Zainouba   Oussaeif Taki-Eddine   Dehilis Sofiane   Leila Benaoua  

Vol. 17 No. 1 (2022) P.83~P.103

DOI:	https://doi.org/10.21915/BIMAS.2022103
	10.21915/BIMAS.2022103

ABSTRACT

In this paper we present a class of parabolic equation with nonlinear nonlocal conditions of second type where we show two part of this study the theoretical part we prove the existence and uniqueness of the solution by energy inequality method. Then the numerical part where we study the consistence and stability of solution.

KEYWORDS
parabolic equation, Non linear eqautions, Integral condition, Existence, Uniqueness, energy inequality method

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 35K58, 35K61, 35B45, 35A01, 35A02

MILESTONES

Received: 2021-12-27
Revised :
Accepted: 2022-03-20

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