Blowup solutions of Grushin's operator
classification
🧮 math.AP
keywords
grushinoperatorblowupheatkernelsolutionsauxiliaryblow
read the original 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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