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ON THE EQUIVALENCE OF VISCOSITY SOLUTIONS AND DISTRIBUTIONAL SOLUTIONS FOR THE TIME-FRACTIONAL DIFFUSION EQUATION

GIGA, YOSHIKAZU MITAKE, HIROYOSHI SATO, SHOICHI 北海道大学

2021.08.30

概要

We consider an initial-boundary value problem for the time-fractional diffusion equation. We prove the equivalence of two notions of weak solutions, viscosity solutions and distributional solutions.

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