Blow‐up analysis for a class of nonlinear reaction diffusion equations with Robin boundary conditions
Juntang Ding, Xuhui Shen · Mathematical Methods in the Applied Sciences · 2017
This paper is devoted to the study of the blow‐up phenomena of following nonlinear reaction diffusion equations with Robin boundary conditions: urn:x-wiley:mma:media:mma4697:mma4697-math-0001 Here, is a bounded convex domain with smooth boundary. With the aid of a differential inequality technique and maximum principles, we establish a blow‐up or non–blow‐up criterion under some appropriate assumptions on the functions f,g,ρ,k, and u0. Moreover, we dedicate an upper bound and a lower bound for the blow‐up time when blowup occurs.