Inverse source problem with a finaloverdetermination for a fractional diffusionequation

By Kenichi Sakamoto, Masahiro Yamamoto. 2011

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For a time fractional diffusion equation with source term, we discuss an inverse problem of determining a spatially varying function of the source by final overdetermining data. We prove that this inverse problem is well-posed in the Hadamard sense except for a discrete set of values of diffusion constants.

Subfields: Mathematical Physics, Mechanics of Materials, Modeling and Simulation

View Paper: https://www.semanticscholar.org/paper/e7fbc46cc0fcc57a10c7dc1c3b1c7025a6a887fc