Homogenization and Inverse Problems for Fractional Diffusion Equations

Autor:	Kawamoto, Atsushi, Machida, Manabu, Yamamoto, Masahiro
Rok vydání:	2023
Předmět:	Mathematics - Analysis of PDEs 35R11 35R30 35B27 26A33
Druh dokumentu:	Working Paper
Popis:	We consider the homogenization for time-fractional diffusion equations in a periodic structure and we derive the homogenized time-fractional diffusion equation. Then we discuss the determination of the constant diffusion coefficient by minimum data. Combining the results obtained above, we investigate the inverse problems of determining the diffusion coefficient for the homogenized equations from the data in the periodic structure and vice versa, that is, we investigate the inverse problem of determining the diffusion coefficient for the periodic equations from the data in the homogenized structure. Comment: 34 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2303.01798 Zobrazit plný text záznamu View this record from Arxiv