This paper deals with parabolic equations with nonlocal Dirichlet boundary conditions. Critical exponent and simultaneous blow-up criteria are studied for blow-up solutions. Moreover, we determine uniform blow-up profiles and blow-up set to all kinds of simultaneous blow-up solutions. It is interesting that large weighted functions could provide sufficient help to the occurring of blow-up of solutions without conditions on initial data.

中文翻译：

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具有非局部Dirichlet条件的抛物型方程解的爆破轮廓。

本文讨论了具有非局部Dirichlet边界条件的抛物线方程。研究了爆破解决方案的临界指数和同时爆破标准。此外，我们确定统一的爆破轮廓和针对所有同时爆破解决方案的爆破设置。有趣的是，较大的加权函数可以为没有初始数据条件的溶液爆炸提供充分的帮助。