Blow-Up Phenomenon for a Reaction–Diffusion Equation with Weighted Nonlocal Gradient Absorption Terms
Author:
Funder
the Natural Science Foundation of Shandong Province of China
the Fundamental Research Funds for the Central Universities
Publisher
Springer Science and Business Media LLC
Subject
General Mathematics
Link
https://link.springer.com/content/pdf/10.1007/s00009-021-01795-5.pdf
Reference23 articles.
1. Ben-Artzi, M., Souplet, P., Weissler, F.B.: The local theory for viscous Hamilton–Jacobi equations in Lebesgue spaces. J. Math. Pures Appl. 8(1), 343–378 (2002)
2. Brezis, H.: Functional Analysis, Sobolev Spaces and Partial Differential Equations. Springer, New York (2011)
3. Fang, Z.B., Yang, R., Chai, Y.: Lower bounds estimate for the blowup time of a slow diffusion equation with nonlocal source and inner absorption. Math. Probl. Eng. 2014, 6 (2014). https://doi.org/10.1155/2014/764248
4. Gilding, B.H., Guedda, M., Kersner, R.: The Cauchy problem for $$u_t=\Delta u+|\nabla u|^{p}$$. J. Math. Anal. Appl. 284, 733–755 (2003)
5. Hesaaraki, M., Moameni, A.: Blow-up of positive solutions for a family of nonlinear parabolic equations in general domain in $$R^{N}$$. Mich. Math. J. 52, 375–389 (2004)
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