Bounds for the Blow-up Time and Blow-up Rate Estimates for Nonlinear Parabolic Equations with Dirichlet or Neumann Boundary Conditions
Journal of Advances in Mathematics and Computer Science · pp. 1–12 · Published 7 Oct 2015
10.9734/BJMCS/2016/20736Abstract
This paper is concerned with the blow-up phenomena for a type of parabolic equations with weighted nonlinear source where Ω ⊂ RN (N ≥ 3) is a smooth bounded domain. Through constructing some suitable auxiliary functions and using the rst-order di erential inequality technique, we obtain the bounds for the blow-up time and the estimates of the blow-up rate of the solution to the problem.
Cited by 4
Guangyu Xu, Jun Zhou · Applied Mathematics & Optimization · 2021
Guangyu Xu · Chinese Annals of Mathematics, Series B · 2020
Guangyu Xu, Jun Zhou · Nonlinear Differential Equations and Applications NoDEA · 2017
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