Zobrazeno 1 - 8
of 8
pro vyhledávání: '"Kairi Kasemets"'
Publikováno v:
Proceedings of the Estonian Academy of Sciences, Vol 71, Iss 1, Pp 3-15 (2022)
An inverse problem to determine a space-dependent diffusivity coefficient in a one-dimensional generalized time fractional diffusion equation from final data is considered. The global uniqueness and local existence and stability of the solution to th
Externí odkaz:
https://doaj.org/article/1caff8b3d8f2448fbd1abbf1cbf010f0
Autor:
Kairi Kasemets, Jaan Janno
Publikováno v:
Electronic Journal of Differential Equations, Vol 2014, Iss 176,, Pp 1-19 (2014)
An inverse problem to determine a coefficient and two kernels in a parabolic integro-differential equation is considered. A corresponding direct problem is supposed to be in the weak form. Existence of the quasi-solution is proved and issues relat
Externí odkaz:
https://doaj.org/article/6dcfa3b902a04fc1b0b2ec4f1640893c
Autor:
Kairi Kasemets, Jaan Janno
Publikováno v:
Abstract and Applied Analysis, Vol 2013 (2013)
We deduce formulas for the Fréchet derivatives of cost functionals of several inverse problems for a parabolic integrodifferential equation in a weak formulation. The method consists in the application of an integrated convolutional form of the weak
Externí odkaz:
https://doaj.org/article/11e0c2d6188c421497b47d254021b694
Autor:
Kairi Kasemets, Jaan Janno
Publikováno v:
Mathematical Modelling and Analysis, Vol 16, Iss 2 (2011)
The identification of a source term in a parabolic integro-differential equation is considered. We study the existence of the quasi-solution to this problem, Tikhonov regularization and a related gradient method.
Externí odkaz:
https://doaj.org/article/88b95b1716d641038798dbf6cb35559c
Autor:
Kairi Kasemets, Jaan Janno
Publikováno v:
Journal of Inverse and Ill-posed Problems. 25:777-798
An inverse problem to determine a kernel in an evolutionary integral equation occurring in modeling of subdiffusion is considered. The existence, uniqueness and stability of a solution of the inverse problem are proved in an abstract setting. The res
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5deb4fab04ec000bb1b12331319c4f0c
https://doi.org/10.1515/jiip-2016-0082
https://doi.org/10.1515/jiip-2016-0082
Autor:
Kairi Kasemets, Jaan Janno
An inverse problem to determine a space-dependent factor in a semilinear time-fractional diffusion equation is considered. Additional data are given in the form of an integral with the Borel measure over the time. Uniqueness of the solution of the in
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b26b4d15a5f67fab3d2ee9add9914ed8
http://arxiv.org/abs/1609.03693
http://arxiv.org/abs/1609.03693
Autor:
Jaan Janno, Kairi Kasemets
Publikováno v:
Inverse Problems & Imaging. 3:17-41
A positivity principle for parabolic integro-differential equations is proved. By means of this principle, uniqueness, existence and stability for an inverse source problem and two inverse coefficient problems are established.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4eaac05fe7e754dcdf75ee88630b8cff
https://doi.org/10.3934/ipi.2009.3.17
https://doi.org/10.3934/ipi.2009.3.17
Autor:
Jaan Janno, Kairi Kasemets
Publikováno v:
Abstr. Appl. Anal.
Abstract and Applied Analysis, Vol 2013 (2013)
Abstract and Applied Analysis, Vol 2013 (2013)
We deduce formulas for the Fréchet derivatives of cost functionals of several inverse problems for a parabolic integrodifferential equation in a weak formulation. The method consists in the application of an integrated convolutional form of the weak
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2f8ac677a53f7463008aec82b1b0e298