【摘要】 考虑含有对数奇异项的抛物型方程的初边值问题,证明了当区域Ω适当小,使直径D≤D*时,解是整体存在的,并对D*的上界进行估计,当区域Ω适当大时,解会在有限时刻发生猝灭,对猝灭时刻的上、下限及猝灭速率进行估计.更多还原

【Abstract】 A class initial-boundary value problem of parabolic differential equation with logarithmic singular term is considered.It is proved that solutions are global for adequate small region Ω such that diameter and D≤D~* and upper bound of D~* and is estimated,while solutions quench in finite time for adequate large region.The uper and lower bound of quenching time and rate is estimated.更多还原