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Integral identity for a class of ill-posed problems generated by a parabolic equation. / Vavilov, Sergey A.; Svetlov, Kirill V.

In: Journal of Inverse and Ill-Posed Problems, Vol. 24, No. 5, 01.10.2016, p. 573-582.

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

Harvard

Vavilov, SA & Svetlov, KV 2016, 'Integral identity for a class of ill-posed problems generated by a parabolic equation', Journal of Inverse and Ill-Posed Problems, vol. 24, no. 5, pp. 573-582. https://doi.org/10.1515/jiip-2014-0080

APA

Vavilov, S. A., & Svetlov, K. V. (2016). Integral identity for a class of ill-posed problems generated by a parabolic equation. Journal of Inverse and Ill-Posed Problems, 24(5), 573-582. https://doi.org/10.1515/jiip-2014-0080

Vancouver

Vavilov SA, Svetlov KV. Integral identity for a class of ill-posed problems generated by a parabolic equation. Journal of Inverse and Ill-Posed Problems. 2016 Oct 1;24(5):573-582. https://doi.org/10.1515/jiip-2014-0080

Author

Vavilov, Sergey A. ; Svetlov, Kirill V. / Integral identity for a class of ill-posed problems generated by a parabolic equation. In: Journal of Inverse and Ill-Posed Problems. 2016 ; Vol. 24, No. 5. pp. 573-582.

BibTeX

@article{50cdb1cd024b44e1804c8ecd3bf68bbf,
title = "Integral identity for a class of ill-posed problems generated by a parabolic equation",
abstract = "The goal of the present study is to derive an integral identity for a class of ill-posed problems generated by a parabolic equation. The obtained result enables us to reduce the original ill-posed problem directly to the first-kind Fredholm equation with translation kernel. Various real world applications to a different fields of knowledge, including ecology and finances, are presented.",
keywords = "ill-posed problem, Inverse problem, stochastic diffusion process",
author = "Vavilov, {Sergey A.} and Svetlov, {Kirill V.}",
year = "2016",
month = oct,
day = "1",
doi = "10.1515/jiip-2014-0080",
language = "English",
volume = "24",
pages = "573--582",
journal = "Journal of Inverse and Ill-Posed Problems",
issn = "0928-0219",
publisher = "De Gruyter",
number = "5",

}

RIS

TY - JOUR

T1 - Integral identity for a class of ill-posed problems generated by a parabolic equation

AU - Vavilov, Sergey A.

AU - Svetlov, Kirill V.

PY - 2016/10/1

Y1 - 2016/10/1

N2 - The goal of the present study is to derive an integral identity for a class of ill-posed problems generated by a parabolic equation. The obtained result enables us to reduce the original ill-posed problem directly to the first-kind Fredholm equation with translation kernel. Various real world applications to a different fields of knowledge, including ecology and finances, are presented.

AB - The goal of the present study is to derive an integral identity for a class of ill-posed problems generated by a parabolic equation. The obtained result enables us to reduce the original ill-posed problem directly to the first-kind Fredholm equation with translation kernel. Various real world applications to a different fields of knowledge, including ecology and finances, are presented.

KW - ill-posed problem

KW - Inverse problem

KW - stochastic diffusion process

UR - http://www.scopus.com/inward/record.url?scp=84991011079&partnerID=8YFLogxK

U2 - 10.1515/jiip-2014-0080

DO - 10.1515/jiip-2014-0080

M3 - Article

AN - SCOPUS:84991011079

VL - 24

SP - 573

EP - 582

JO - Journal of Inverse and Ill-Posed Problems

JF - Journal of Inverse and Ill-Posed Problems

SN - 0928-0219

IS - 5

ER -

ID: 48881987