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arXiv · 1902.07390

Blowup solutions of Grushin's operator

Guangying Lv·Jinlong Wei·Longjie Xie
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Abstract

In this note, we consider the blowup phenomenon of Grushin's operator. By using the knowledge of probability, we first get expression of heat kernel of Grushin's operator. Then by using the properties of heat kernel and suitable auxiliary function, we get that the solutions will blow up in finite time.

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Guangying Lv, Jinlong Wei, Longjie Xie. 2019-02-20. Blowup solutions of Grushin's operator. https://arxiv.org/abs/1902.07390

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