On Time-Fractional Diffusion Equations with Space-Dependent Variable Order

Yavar Kian (1, 2) , Eric Soccorsi (2, 1) , Masahiro Yamamoto (3)

1 CPT - E8 Dynamique quantique et analyse spectrale
2 CPT - Centre de Physique Théorique - UMR 7332
3 UTokyo - The University of Tokyo

We investigate diffusion equations with time-fractional derivatives of space-dependent variable order. We establish the well-posedness issue and prove that the space-dependent variable order coefficient is uniquely determined by the knowledge of a suitable time-sequence of partial Dirichlet-to-Neumann maps.

Domaines: Equations aux dérivées partielles [math.AP]

Yavar Kian, Eric Soccorsi, Masahiro Yamamoto. On Time-Fractional Diffusion Equations with Space-Dependent Variable Order. Annales Henri Poincaré, 2018, 19 (12), pp.3855-3881. ⟨10.1007/s00023-018-0734-y⟩. ⟨hal-01500843⟩