A Carleman estimate of some anisotropic space-fractional diffusion equations

Junxiong Jia; Bangyu Wu

doi:10.1016/j.aml.2017.12.021

A Carleman estimate of some anisotropic space-fractional diffusion equations

Junxiong Jia
, Bangyu Wu

School of Mathematics and Statistics

Xi'an Jiaotong University

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

This paper is concerned with Carleman estimates for some anisotropic space-fractional diffusion equations, which are important tools for investigating the corresponding control and inverse problems. By employing a special weight function and the nonlocal vector calculus, we prove a Carleman estimate and apply it to build a stability result for a backward diffusion problem.

Original language	English
Pages (from-to)	1-7
Number of pages	7
Journal	Applied Mathematics Letters
Volume	80
DOIs	https://doi.org/10.1016/j.aml.2017.12.021
State	Published - Jun 2018

Keywords

Backward diffusion problem
Carleman estimate
Fractional diffusion equation

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10.1016/j.aml.2017.12.021

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title = "A Carleman estimate of some anisotropic space-fractional diffusion equations",

abstract = "This paper is concerned with Carleman estimates for some anisotropic space-fractional diffusion equations, which are important tools for investigating the corresponding control and inverse problems. By employing a special weight function and the nonlocal vector calculus, we prove a Carleman estimate and apply it to build a stability result for a backward diffusion problem.",

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author = "Junxiong Jia and Bangyu Wu",

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doi = "10.1016/j.aml.2017.12.021",

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AU - Wu, Bangyu

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AB - This paper is concerned with Carleman estimates for some anisotropic space-fractional diffusion equations, which are important tools for investigating the corresponding control and inverse problems. By employing a special weight function and the nonlocal vector calculus, we prove a Carleman estimate and apply it to build a stability result for a backward diffusion problem.

KW - Backward diffusion problem

KW - Carleman estimate

KW - Fractional diffusion equation

UR - https://www.scopus.com/pages/publications/85041459357

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DO - 10.1016/j.aml.2017.12.021

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JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

ER -

A Carleman estimate of some anisotropic space-fractional diffusion equations

Abstract

Keywords

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