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386812

Existence of weak solutions to a convection– diffusion equation in amalgam spaces

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Last updated: 31 Dec 2024

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Abstract

We consider the local existence and uniqueness of a weak solution for a convection– diffusion equation in amalgam spaces. We establish the local existence and uniqueness of solution for the initial condition in amalgam spaces. Furthermore, we prove the validity of the Fujita–Weissler critical exponent for local existence and uniqueness of solution in the amalgam function class that is identified by Escobedo and Zuazua (J Funct Anal 100:119–161, 1991)

DOI

10.1186/s42787-022-00156-9

Keywords

Convection–diffusion equations, Amalgam spaces, Weak solution, Uniqueness

Authors

First Name

Buddhadeo

Last Name

Mahato

MiddleName

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Affiliation

Department of Mathematics, University College of Engineering & Technology, Hazaribag, India

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Volume

30

Article Issue

1

Related Issue

51015

Issue Date

2022-01-01

Receive Date

2024-10-17

Publish Date

2022-01-01

Page Start

1

Page End

19

Print ISSN

1110-256X

Online ISSN

2090-9128

Article File

JOEMS_Volume 30_Issue 1_Pages 1-19.pdf

PDF . 3.4MB

Link

https://joems.journals.ekb.eg/article_386812.html

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https://joems.journals.ekb.eg/service?article_code=386812

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386,812

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Original Article

Type Code

3,248

Publication Type

Journal

Publication Title

Journal of the Egyptian Mathematical Society

Publication Link

https://joems.journals.ekb.eg/

MainTitle

Existence of weak solutions to a convection– diffusion equation in amalgam spaces

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Article

Created At

21 Dec 2024