On time-fractional diffusion equations with space-dependent variable order
Analysis of PDEs
2018-12-05 v3
Abstract
We investigate diffusion equations with time-fractional derivatives of space-dependent variable order. We examine the well-posedness issue and prove that the space-dependent variable order coefficient is uniquely determined among other coefficients of these equations, by the knowledge of a suitable time-sequence of partial Dirichlet-to-Neumann maps.
Keywords
Cite
@article{arxiv.1701.04046,
title = {On time-fractional diffusion equations with space-dependent variable order},
author = {Yavar Kian and Eric Soccorsi and Masahiro Yamamoto},
journal= {arXiv preprint arXiv:1701.04046},
year = {2018}
}