一类非线性抛物型方程组解的整体存在及爆破Global existence and blow up for a nonlinear parabolic equations
孙法国;薛应珍;
摘要(Abstract):
研究了一类带有非线性边界条件的非线性抛物型方程组解的整体存在及解在有限时刻爆破问题.通过构造方程组的上、下解.得到了解整体存在及解在有限时刻爆破的充分条件.对指数型反应项和边界流采用了常微分方程方法构造其上下解,而其它例如第一特征值等方法运用于该方程就比较困难.
关键词(KeyWords): 非线性抛物型方程组;整体解;爆破问题;非线性边界条件
基金项目(Foundation): 国家自然科学基金资助项目(60674018)
作者(Authors): 孙法国;薛应珍;
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