Inverse Problem for Fractional Diffusion Equation

Tuan, 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 -