A blowup solution of a complex semi-linear heat equation with an irrational power

Giao Ky Duong

In this paper, we consider the following semi-linear complex heat equation \begin{eqnarray*} \partial_t u = Δu + u^p, u \in \mathbb{C} \end{eqnarray*} in ${\mathbb{R}}^n,$ with an ar…