摘要
本文采用特征函数法与积分估计法研究两类非线性拟抛物方程的初边值问题解的熄灭问题,分别给出了其古典解与广义解熄灭的两种较为广泛的充分条件.
In this paper,we study the blowing-up of solutions of the initial boundary value problem for nonlinear pseu-doparabolic equation u_(?)—△u_(?)=f(u)+△g(u)and u_(?)—△u_(?)=f(u,△u)+▽·ψ(u,▽u)with eigenf unctionmethod and integral estimates respectively,and obtain the sufficient conditions of the blowing-up of the classicalsolutions of u_(?)—△u_(?)=f(u)+△g(u)and generalized solutions of u_(?)—△u_(?)=f(u,△u)+▽·ψ(u,▽u)respec-tively.
出处
《四川师范大学学报（自然科学版）》
CAS
CSCD
1993年第2期1-4,共4页
Journal of Sichuan Normal University（Natural Science）
关键词
非线性拟抛物方程
解的熄灭
初边值问题
nonlinear pseudoparabolic equations
blowing-up of solutions
initial boundary value problem
