【摘要】 考虑带非局部源的退化半线性抛物方程组(0.1)在一定条件之下解的爆破问题.首先建立了比较原理,并在此基础上利用上、下解的方法证明其局部解的存在唯一性以及当初值充分大时解在有限时刻爆破.最后,还证明了爆破点集就是整个区间[0,a].更多还原

【Abstract】 In this paper,we consider the blow-up problem for a degenerate semilinear system with nonlocal source(0.1) under some conditions.Firstly,we construct a comparision theorem,then we prove the existence and uniqueness results of local solution and the solution will blow-up at a finite time when the initial data are large enough by using upper and lower solution method,lastly,we prove the blow-up set is the whole interval .更多还原