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February, 2021 Uniform Boundedness and Global Existence of Solutions to a Quasilinear Diffusion Equation with Nonlocal Fisher-KPP Type Reaction Term
Xueyan Tao, Zhong Bo Fang
Taiwanese J. Math. 25(1): 89-105 (February, 2021). DOI: 10.11650/tjm/200402

Abstract

This paper deals with the Cauchy problem and Neumann initial boundary value problem for a quasilinear diffusion equation with nonlocal Fisher-KPP type reaction terms. We establish the uniform boundedness and global existence of solutions to the problems by using multipliers technique and modified Moser's iteration argument for some ranges of parameters. Moreover, the ranges of parameters have similar structure to that of the classical critical Fujita exponent.

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Xueyan Tao. Zhong Bo Fang. "Uniform Boundedness and Global Existence of Solutions to a Quasilinear Diffusion Equation with Nonlocal Fisher-KPP Type Reaction Term." Taiwanese J. Math. 25 (1) 89 - 105, February, 2021. https://doi.org/10.11650/tjm/200402

Information

Received: 25 November 2019; Revised: 11 April 2020; Accepted: 16 April 2020; Published: February, 2021
First available in Project Euclid: 22 April 2020

Digital Object Identifier: 10.11650/tjm/200402

Subjects:
Primary: 35A01, 35B33, 35K59

Rights: Copyright © 2021 The Mathematical Society of the Republic of China

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Vol.25 • No. 1 • February, 2021
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