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LOCAL EXISTENCE AND BLOW-UP OF SOLUTIONS TO FUJITA-TYPE EQUATIONS INVOLVING GENERAL ABSORPTION TERM ON FINITE GRAPHS

YITING WU

YITING WU

Department of Mathematics, China Jiliang University, Hangzhou 310018, P. R. China

E-mail Address: yitingly@sina.com

E-mail Address: yitingly@126.com

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https://doi.org/10.1142/S0218348X22400539Cited by:2 (Source: Crossref)

This article is part of the issue:

Special Issue on Dynamical Systems and Their Applications to Engineering, Economy and Health Sciences
Guest Editors: Juan L. G. Guirao, Elbaz I. Abouelmagd and Bruce A. Wade

Abstract

This paper is devoted to the study of the behaviors of the solution to Fujita-type equations on finite graphs. Under certain conditions given by absorption term of the equations, we prove respectively local existence and blow-up results of solutions to Fujita-type equations on finite graphs. Our results contain some previous results as special cases. Finally, we provide some numerical experiments to illustrate the applicability of the obtained results.

Keywords:

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Vol. 30, No. 02

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History

Received 10 March 2021

Accepted 5 August 2021

Published: January 20, 2022

Information

This is an Open Access article in the “Special Issue on Dynamical Systems and Their Applications to Engineering, Economy and Health Sciences”, edited by Juan L.G. Guirao (Technical University of Cartagena, Spain), Elbaz I. Abouelmagd (National Research Institute of Astronomy and Geophysics (NRIAG), Cairo, Egypt) & Bruce A. Wade (University of Louisiana at Lafayette, USA) published by World Scientific Publishing Company. It is distributed under the terms of the Creative Commons Attribution 4.0 (CC-BY) License which permits use, distribution and reproduction in any medium, provided the original work is properly cited.

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LOCAL EXISTENCE AND BLOW-UP OF SOLUTIONS TO FUJITA-TYPE EQUATIONS INVOLVING GENERAL ABSORPTION TERM ON FINITE GRAPHS

Abstract

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