标题:
伪抛物型方程非局部问题解的爆破性The Blow up Property of Solutions for Some Pseudoprabolic Equations with Nonlinear Nonlocal Source
作者:
江成顺, 汪先超
关键字:
Blow-Up, 伪抛物型方程, 非线性非局部源, 爆破速率Blow-Up; Pseudoparabolic Equation; Nonlinear Nonlocal Source; Growth Rate
期刊名称:
《Pure Mathematics》, Vol.1 No.2, 2011-08-09
摘要:
本文研究带非线性非局部源项的伪抛物型方程的一类初边值问题。首先证明了模型局部解的存在唯一性，然后证明其解在一定条件下的爆破性质，最后给出两个特殊源项问题解的爆破速率估计。This paper investigates some Initial Buandary Value Problem (IBVP) of pseudoparabolic equations with nonlinear nonlocal source. Firstly, the authors prove the existence and uniqueness of local solutions of the IBVP. Secondly, authors derive the blow up property of solutions under certain conditions. Finally, they show the growth rate of solutions near the blow up time.