On a discrete scheme for time fractional fully nonlinear evolution equations

2019/02/23 by Giga, Yoshikazu, Liu, Qing, Mitake, Hiroyoshi · 1 citation
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1902.08863

Abstract

We introduce a discrete scheme for second order fully nonlinear parabolic PDEs with Caputo's time fractional derivatives. We prove the convergence of the scheme in the framework of the theory of viscosity solutions. The discrete scheme can be viewed as a resolvent-type approximation.

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