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arXiv · 2108.11065

On the equivalence of viscosity solutions and distributional solutions for the time-fractional diffusion equation

Yoshikazu Giga·Hiroyoshi Mitake·Shoichi Sato
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Abstract

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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Yoshikazu Giga, Hiroyoshi Mitake, Shoichi Sato. 2021-08-25. On the equivalence of viscosity solutions and distributional solutions for the time-fractional diffusion equation. https://arxiv.org/abs/2108.11065

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