Inverse source problem with a finaloverdetermination for a fractional diffusionequation

Abstract

For a time fractional diffusion equation withsource term, we discuss an inverse problem ofdetermining a spatially varying function of the source byfinal overdetermining data.We prove that this inverse problem is well-posedin the Hadamard sense except for a discrete set of values ofdiffusion constants.

Identifiers

DOI

10.3934/mcrf.2011.1.509

Citations and references