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arXiv · 2408.00031

Sharp kernel bounds for parabolic operators with first order degeneracy

Luigi Negro·Chiara Spina
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Abstract

We prove sharp upper and lower estimates for the parabolic kernel of the singular elliptic operator \begin{align*} \mathcal L&=\mbox{Tr }\left(AD^2\right)+\frac{\left(v,\nabla\right)}y, \end{align*} in the half-space $\mathbb{R}^{N+1}_+=\{(x,y): x \in \mathbb{R}^N, y>0\}$ under Neumann or oblique derivative boundary conditions at $y=0$.

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Luigi Negro, Chiara Spina. 2024-07-31. Sharp kernel bounds for parabolic operators with first order degeneracy. https://arxiv.org/abs/2408.00031

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