DOI test 2 - parabolic problem \(\dfrac{\partial u}{\partial t} = - (-\triangle)^{\frac{\alpha}{2}}u + \dfrac{c}{|x|^{\alpha}}u$ in $\mathbb{R}^{d}\times (0 , T)\)
DOI:
https://doi.org/10.15273/dtj.v201i1.11785Abstract
Abstract is The main aim of the present paper is to investigate under what conditions the nonnegative solutions blow-up for the parabolic problem
$$\dfrac{\partial u}{\partial t} = - (-\triangle)^{\frac{\alpha}{2}}u + \dfrac{c}{|x|^{\alpha}}u$ in $\mathbb{R}^{d}\times (0 , T)$$
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