Hölder regularity for the gradient of the inhomogeneous parabolic normalized p-Laplacian

Amal Attouchi, Mikko Parviainen

Type: Article

Publication Date: 2017-02-17

Citations: 30

DOI: https://doi.org/10.1142/s0219199717500353

Abstract

In this paper, we study an evolution equation involving the normalized [Formula: see text]-Laplacian and a bounded continuous source term. The normalized [Formula: see text]-Laplacian is in non-divergence form and arises for example from stochastic tug-of-war games with noise. We prove local [Formula: see text] regularity for the spatial gradient of the viscosity solutions. The proof is based on an improvement of flatness and proceeds by iteration.

Locations

arXiv (Cornell University) - View - PDF
Communications in Contemporary Mathematics - View

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+ PDF Chat	An Introduction to Fully Nonlinear Parabolic Equations	2013	Cyril Imbert Luís Silvestre
+	Viscosity solutions of fully nonlinear second-order elliptic partial differential equations	1990	Hitoshi Ishii Pierre‐Louis Lions
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