We give sufficient conditions for the boundedness of the blow-up set and no boundary blow-up for type I blowing up solutions to a nonlinear parabolic system with unequal elliptic operators. We introduce a new method to simplify the nonlinear parabolic system into a scalar nonlinear parabolic inequality and investigate qualitative properties of the blow-up set.

中文翻译：

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椭圆算子不等式的非线性抛物型方程组的爆破解。

我们给出了爆破集的有界性的充分条件，对于具有不等价椭圆算子的非线性抛物系统的I型爆破解，没有边界爆破的条件。我们引入了一种新方法，将非线性抛物线系统简化为标量非线性抛物线不等式，并研究了爆破集的定性性质。