# Inverse Problem for Fractional Diffusion Equation

Fractional Calculus and Applied Analysis (2011)

- Volume: 14, Issue: 1, page 31-55
- ISSN: 1311-0454

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topTuan, Vu Kim. "Inverse Problem for Fractional Diffusion Equation." Fractional Calculus and Applied Analysis 14.1 (2011): 31-55. <http://eudml.org/doc/219650>.

@article{Tuan2011,

abstract = {MSC 2010: 26A33, 33E12, 34K29, 34L15, 35K57, 35R30We prove that by taking suitable initial distributions only finitely many measurements on the boundary are required to recover uniquely the diffusion coefficient of a one dimensional fractional diffusion equation. If a lower bound on the diffusion coefficient is known a priori then even only two measurements are sufficient. The technique is based on possibility of extracting the full boundary spectral data from special lateral measurements.},

author = {Tuan, Vu Kim},

journal = {Fractional Calculus and Applied Analysis},

keywords = {Fractional Diffusion Equation; Inverse Problem; Boundary Spectral Data; Eigenfunction Expansion; fractional diffusion equation; inverse problem; boundary spectral data; eigenfunction expansion},

language = {eng},

number = {1},

pages = {31-55},

publisher = {Institute of Mathematics and Informatics Bulgarian Academy of Sciences},

title = {Inverse Problem for Fractional Diffusion Equation},

url = {http://eudml.org/doc/219650},

volume = {14},

year = {2011},

}

TY - JOUR

AU - Tuan, Vu Kim

TI - Inverse Problem for Fractional Diffusion Equation

JO - Fractional Calculus and Applied Analysis

PY - 2011

PB - Institute of Mathematics and Informatics Bulgarian Academy of Sciences

VL - 14

IS - 1

SP - 31

EP - 55

AB - MSC 2010: 26A33, 33E12, 34K29, 34L15, 35K57, 35R30We prove that by taking suitable initial distributions only finitely many measurements on the boundary are required to recover uniquely the diffusion coefficient of a one dimensional fractional diffusion equation. If a lower bound on the diffusion coefficient is known a priori then even only two measurements are sufficient. The technique is based on possibility of extracting the full boundary spectral data from special lateral measurements.

LA - eng

KW - Fractional Diffusion Equation; Inverse Problem; Boundary Spectral Data; Eigenfunction Expansion; fractional diffusion equation; inverse problem; boundary spectral data; eigenfunction expansion

UR - http://eudml.org/doc/219650

ER -

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