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Solvability and dynamics study of a weak solution for a nonlinear parabolic problem with the bessel operator

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Title: Solvability and dynamics study of a weak solution for a nonlinear parabolic problem with the bessel operator

Authors: Zainouba Chebana, Taki eddine Oussaeif

Journal: Innovative journal of mathematics

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Year: 2022

Volume: 1

Issue: 1

Language: en

DOI: 10.55059/ijm.2022.1.1/14

Keywords: existenceParabolic equationNon linear eqautionsUniquenesEenergy inequality method

Categories
Existence and Uniqueness (3) Nonlinear Equations (38) Parabolic Equations (2) Partial Differential Equations (47) Mathematics (5170)

Abstract

In this paper, we present a class of parabolic equation with nonlinear 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 we present finite time blow up by using the energy method.

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