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arXiv · 1505.05525

Hölder gradient estimates for parabolic homogeneous p-Laplacian equations

Tianling Jin·Luis Silvestre
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Abstract

We prove interior Hölder estimates for the spatial gradient of viscosity solutions to the parabolic homogeneous $p$-Laplacian equation \[ u_t=|\nabla u|^{2-p} \mbox{ div} (|\nabla u|^{p-2}\nabla u), \] where $1<p<\infty$. This equation arises from tug-of-war-like stochastic games with noise. It can also be considered as the parabolic $p$-Laplacian equation in non divergence form.

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Tianling Jin, Luis Silvestre. 2016-03-10. Hölder gradient estimates for parabolic homogeneous p-Laplacian equations. https://arxiv.org/abs/1505.05525

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