Blow-up Phenomena for a Reaction-diffusion Equation with Nonlocal Gradient Terms
Author:
Affiliation:
1. Department of Mathematics, Changwon National University, South Korea
2. School of Mathematical Sciences, Ocean University of China, China
Publisher
The Mathematical Society of the Republic of China
Subject
General Mathematics
Reference27 articles.
1. J. Ding and X. Shen, Blow-up analysis for a class of nonlinear reaction diffusion equations with Robin boundary conditions, Math. Methods Appl. Sci. 41 (2018), no. 4, 1683–1696.
2. M. Hesaaraki and A. Moameni, Blow-up of positive solutions for a family of nonlinear parabolic equations in general domain in $\mathbb{R}^{N}$, Michigan Math. J. 52 (2004), no. 2, 375–389.
3. H. A. Levine, Nonexistence of global weak solutions to some properly and improperly posed problems of mathematical physics: The method of unbounded Fourier coefficients, Math. Ann. 214 (1975), no. 3, 205–220.
4. H. Li, W. Gao and Y. Han, Lower bounds for the blowup time of solutions to a nonlinear parabolic problem, Electron. J. Differential Equations 2014, No. 20, 6 pp.
5. T. Li, N. Pintus and G. Viglialoro, Properties of solutions to porous medium problems with different sources and boundary conditions, Z. Angew. Math. Phys. 70 (2019), no. 3, Paper No. 86, 18 pp.
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