Global Existence and Decay Estimates of Energy of Solutions for a New Class of p -Laplacian Heat Equations with Logarithmic Nonlinearity-Reference-Cited by-同舟云学术

Global Existence and Decay Estimates of Energy of Solutions for a New Class of p -Laplacian Heat Equations with Logarithmic Nonlinearity

Published:2021-03-15 Issue: Volume:2021 Page:1-11
ISSN:2314-8888
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Boulaaras Salah Mahmoud¹²^ORCID,Choucha Abdelbaki³,Zara Abderrahmane⁴,Abdalla Mohamed⁵⁶,Cheri Bahri-Belkacem¹⁷^ORCID

Affiliation:

1. Department of Mathematics, College of Sciences and Arts, ArRas, Qassim University, Saudi Arabia

2. Laboratory of Fundamental and Applied Mathematics of Oran (LMFAO), University of Oran 1, Oran, 31000 Oran, Algeria

3. Laboratory of Operator Theory and PDEs: Foundations and Applications, Department of Mathematics, Faculty of Exact Sciences, University of El Oued, El Oued, Algeria

4. Department of Mathematics, Informatics and Systems (LAMIS), Larbi Tebessi University, 12002 Tebessa, Algeria

5. Mathematics Department, College of Science, King Khalid University, Abha 61413, Saudi Arabia

6. Mathematics Department, Faculty of Science, South Valley University, Qena 83523, Egypt

7. Preparatory Institute for Engineering Studies in Sfax, Tunisia

Abstract

The present research paper is related to the analytical studies of

p

-Laplacian heat equations with respect to logarithmic nonlinearity in the source terms, where by using an efficient technique and according to some sufficient conditions, we get the global existence and decay estimates of solutions.

Funder

King Khalid University

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2021/5558818.pdf

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