# Lipschitz Stability in Inverse Source and Inverse Coefficient Problems for a First- and Half-order Time-fractional Diffusion Equation

@article{Kawamoto2020LipschitzSI, title={Lipschitz Stability in Inverse Source and Inverse Coefficient Problems for a First- and Half-order Time-fractional Diffusion Equation}, author={A. Kawamoto and M. Machida}, journal={SIAM J. Math. Anal.}, year={2020}, volume={52}, pages={967-1005} }

We consider inverse problems for the first and half order time fractional equation. We establish the stability estimates of Lipschitz type in inverse source and inverse coefficient problems by means of the Carleman estimates.

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SHOWING 1-10 OF 34 REFERENCES

Lipschitz stability estimates in inverse source problems for a fractional diffusion equation of half order in time by Carleman estimates

- Mathematics
- 2018

5

Uniqueness for inverse problems of determining orders of multi-term time-fractional derivatives of diffusion equation

- Mathematics
- 2014

47

Local stability for an inverse coefficient problem of a fractional diffusion equation

- Mathematics
- 2014

6

H\"older stability estimate in an inverse source problem for a first and half order time fractional diffusion equation

- Mathematics
- 2016

6

Carleman estimates for the time-fractional advection-diffusion equations and applications

- Mathematics
- 2019

12

Weak unique continuation property and a related inverse source problem for time-fractional diffusion-advection equations

- Mathematics
- 2017

49

Inverse source problem with a finaloverdetermination for a fractional diffusionequation

- Mathematics
- 2011

56

Conditional stability in determining a zeroth-order coefficient in a half-order fractional diffusion equation by a Carleman estimate

- Mathematics
- 2012

55

Carleman estimates for global uniqueness, stability and numerical methods for coefficient inverse problems

- Mathematics, Physics
- 2012

131