摘要
在总结前人研究抛物型方程的局部解的存在性与爆破性问题的基础上,证明了抛物型方程当初值满足一定条件时局部解的存在,以及当初值充分大时解将在有限时间内发生爆破,且当方程中参数β大于1时,不是利用比较原理,而是利用迭代的方法得到了解的Ls估计.
Based on the study of existence and blow of solution,local solution for parabolic equations exists was proved when initial value meets appropriate conditions ,and the solution blows up in finite time was proved when initial value is large enough, when parameter β in equation is larger than one,the L^s estimation of solution was received using method of iterance.
出处
《厦门大学学报（自然科学版）》
CAS
CSCD
北大核心
2007年第3期306-311,共6页
Journal of Xiamen University：Natural Science
关键词
广义解
全局解
局部解
generalized solution
global solution
local solution
