Hölder gradient estimates for parabolic homogeneous pLaplacian equations
Abstract
We prove interior Hölder estimates for the spatial gradient of viscosity solutions to the parabolic homogeneous $p$Laplacian equation \[ u_t=\nabla u^{2p} \mbox{ div} (\nabla u^{p2}\nabla u), \] where $1<p<\infty$. This equation arises from tugofwarlike stochastic games with noise. It can also be considered as the parabolic $p$Laplacian equation in non divergence form.
 Publication:

arXiv eprints
 Pub Date:
 May 2015
 arXiv:
 arXiv:1505.05525
 Bibcode:
 2015arXiv150505525J
 Keywords:

 Mathematics  Analysis of PDEs
 EPrint:
 27 pages, 3 figures, edited introduction, references added, a few typos are fixed