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arXiv · 1902.08863

On a discrete scheme for time fractional fully nonlinear evolution equations

Yoshikazu Giga·Qing Liu·Hiroyoshi Mitake
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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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Yoshikazu Giga, Qing Liu, Hiroyoshi Mitake. 2019-02-23. On a discrete scheme for time fractional fully nonlinear evolution equations. https://arxiv.org/abs/1902.08863

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