Abstract: the global existence and blow-up problem for the parabolic equations with nonlinear boundary conditions were studied.

文摘：讨论了带非线性边界条件的抛物型方程组的解的整体存在性及爆破问题。

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The result that the blow-up set of the problem is a compact subset was proved by the reflective principle and the maximum principle, and the blow-up rate of the solutions was obtained.

文章主要建立了四类四阶半线性椭圆型方程解的极大值原理，并得到了相应边值问题的解的唯一性定理。

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One big problem with lithium-ion batteries is that they have the tendency to catch fire and blow up all kinds of gadgets like  toys and  phones.

【内置灭火器：可有效防止电池爆炸】锂离子电池的一个问题是具有着火和引爆各种设备如玩具、手机的倾向。

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The conservative side has said, the whole problem is bureaucracy, teachers' unions -- you got to blow up the system.

WHITEHOUSE: President Obama Holds a Town Hall in New Hampshire