Blowup Behavior of Solutions to an w-diffusion Equation on the Graph  

作　　者：ZHU Liping HUANG Lin 

机构地区：[1]Faculty of Science,Xi'an University of Architecture and Technology,Xi'an 710055,China

出　　处：《Journal of Partial Differential Equations》2022年第2期148-162,共15页偏微分方程（英文版）

摘　　要：In this article,we discuss the blowup phenomenon of solutions to the wdiffusion equation with Dirichlet boundary conditions on the graph.Through Banach fixed point theorem,comparison principle,construction of auxiliary function and other methods,we prove the local existence of solutions,and under appropriate conditions the blowup time and blowup rate estimation are given.Finally,numerical experiments are given to illustrate the blowup behavior of the solution.

关 键 词：Simple graph DISCRETE blowup time blowup rate 

分 类 号：O175.2[理学—数学]