一类抛物型方程局部解的存在性与爆破  

Existence and Blow of Local Solution About a Type of Parabolic Equations

作　　者：张亚阳[1] 汤军健[2] 

机构地区：[1]集美大学理学院,福建厦门361021 [2]国家海洋局第三研究所,福建厦门361005

出　　处：《厦门大学学报（自然科学版）》2007年第3期306-311,共6页Journal of Xiamen University：Natural Science

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.

关 键 词：广义解 全局解 局部解 

分 类 号：O175[理学—数学]