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arXiv · 1507.07695

Stable estimates for source solution of critical fractal Burgers equation

Tomasz Jakubowski·Grzegorz Serafin
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Abstract

In this paper, we provide two-sided estimates for the source solution of $d$-dimensional critical fractal Burgers equation $u_t-Δ^{α/2}+b\cdot \nabla\left(u|u|^q\right)=0$, $q=(α-1)/d$, $α\in(1,2)$, $b\in\mathbb{R}^d$, by the density function of the isotropic $α$-stable process.

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Tomasz Jakubowski, Grzegorz Serafin. 2015-07-28. Stable estimates for source solution of critical fractal Burgers equation. https://arxiv.org/abs/1507.07695

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