Author:
Ouyang Baiping,Lin Yiwu,Liu Yan,Cai Zihan
Abstract
AbstractIn this paper, we study the blow-up phenomenon for a general nonlinear nonlocal porous medium equation in a bounded convex domain $(\varOmega\in \mathbb{R}^{n}, n\geq 3)$(Ω∈Rn,n≥3) with smooth boundary. Using the technique of a differential inequality and a Sobolev inequality, we derive the lower bound for the blow-up time under the nonlinear boundary condition if blow-up does really occur.
Publisher
Springer Science and Business Media LLC
Subject
Algebra and Number Theory,Analysis
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