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Journal of Inverse and Ill-posed Problems

Editor-in-Chief: Kabanikhin, Sergey I.


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Online
ISSN
1569-3945
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Volume 20, Issue 5-6

Issues

Regularization of backward parabolic equations in Banach spaces

Dinh Nho Hào / Nguyen Van Duc
Published Online: 2012-12-14 | DOI: https://doi.org/10.1515/jip-2012-0046

Abstract.

The ill-posed backward parabolic equation

with a densely defined linear operator A such that generates an analytic semigroup in a Banach space X and being given is stabilized by the Tikhonov regularization method and by the well-posed non-local boundary value problem

A priori and a posteriori parameter choice rules for these regularization methods are suggested which yield the error estimate for all , where are computable constants, E is a bound for and is a defined harmonic function.

Keywords: Backward parabolic equations; ill-posed problems; Tikhonov regularization; non-local boundary value problems

About the article

Received: 2012-06-19

Published Online: 2012-12-14

Published in Print: 2012-12-01


Citation Information: , Volume 20, Issue 5-6, Pages 745–763, ISSN (Online) 1569-3945, ISSN (Print) 0928-0219, DOI: https://doi.org/10.1515/jip-2012-0046.

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[1]
Tra Quoc Khanh and Ngo Van Hoa
Journal of Computational and Applied Mathematics, 2017
[2]
B Kaltenbacher
Inverse Problems, 2017, Volume 33, Number 6, Page 064002
[3]
Dinh Nho Hào and Nguyen Van Duc
Applicable Analysis, 2015, Volume 94, Number 3, Page 446

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