Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
Integral identity for a class of ill-posed problems generated by a parabolic equation. / Vavilov, Sergey A.; Svetlov, Kirill V.
в: Journal of Inverse and Ill-Posed Problems, Том 24, № 5, 01.10.2016, стр. 573-582.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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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