Boundary behavior of nonnegative solutions of fully nonlinear parabolic equations

2012/12/25 by Agnid Banerjee, Nicola Garofalo, Banerjee, Agnid +1
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP

paper · pdf · doi:10.48550/arxiv.1212.5985

arxiv created 2012/12/25 · arxiv updated 2012/12/27

Abstract

We study the boundary behavior of viscosity nonnegative solutions of fully nonlinear parabolic Pucci extremal operators. We establish local and global comparison theorems in C^1,1 cylinders, along with a backward Harnack inequality.

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