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arXiv · 2012.12327

An Introduction to Barenblatt Solutions for Anisotropic $p$-Laplace Equations

Simone Ciani·Vincenzo Vespri
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Abstract

We introduce Fundamental solutions of Barenblatt type for the equation $u_t=\sum_{i=1}^N \bigg( |u_{x_i}|^{p_i-2}u_{x_i} \bigg)_{x_i}$, $p_i >2 \quad \forall i=1,..,N$, on $\Sigma_T=\mathbb{R}^N \times[0,T]$, and we prove their importance for the regularity properties of the solutions.

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Simone Ciani, Vincenzo Vespri. 2020-12-22. An Introduction to Barenblatt Solutions for Anisotropic $p$-Laplace Equations. https://arxiv.org/abs/2012.12327

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