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Mathematics

Inverse source problem with a finaloverdetermination for a fractional diffusionequation

Kenichi Sakamoto, Masahiro Yamamoto

2011.11.1Mathematical Control and Related Fields

DOI: 10.3934/mcrf.2011.1.509

tlooto Summary

Inverse source problem for a fractional diffusion equation with final overdetermination is discussed for its well-posedness in the Hadamard sense except for discrete values of diffusion constants.

Abstract

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.

Citation format

SAKAMOTO, Kenichi; YAMAMOTO, Masahiro. Inverse source problem with a finaloverdetermination for a fractional diffusionequation. Mathematical Control and Related Fields, 2011, 1: 509–518.