Uniqueness for an inverse coefficient problem for a one-dimensional time-fractional diffusion equation with non-zero boundary conditions

• Published in: Applicable analysis Vol. 102; no. 3; pp. 815 - 829
• Main Authors: Rundell, William, Yamamoto, Masahiro
• Format: Journal Article
• Language: English
• Published: Abingdon Taylor & Francis 11.02.2023; Taylor & Francis Ltd
• Subjects: Boundary conditions; Boundary value problems; Diffusion; Dirichlet problem; Formulas (mathematics); fractional diffusion equation; Inverse coefficient problem; Sobolev space; Uniqueness

We consider initial boundary value problems for one-dimensional diffusion equation with time-fractional derivative of order which are subject to non-zero Neumann boundary conditions. We prove the uniqueness for an inverse coefficient problem of determining a spatially varying potential and the order...