English

On a discrete scheme for time fractional fully nonlinear evolution equations

Analysis of PDEs 2019-02-26 v1

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.

Keywords

Cite

@article{arxiv.1902.08863,
  title  = {On a discrete scheme for time fractional fully nonlinear evolution equations},
  author = {Yoshikazu Giga and Qing Liu and Hiroyoshi Mitake},
  journal= {arXiv preprint arXiv:1902.08863},
  year   = {2019}
}

Comments

9 pages

R2 v1 2026-06-23T07:49:02.456Z