| DC Field | Value | Language |
|---|
| dc.contributor.author | Pabyrivska, Nelya | |
| dc.contributor.author | Pabyrivskyy, Viktor | |
| dc.coverage.temporal | 21-25 August 2018, Lviv | |
| dc.date.accessioned | 2020-06-19T12:05:43Z | - |
| dc.date.available | 2020-06-19T12:05:43Z | - |
| dc.date.created | 2018-02-28 | |
| dc.date.issued | 2018-02-28 | |
| dc.identifier.citation | Pabyrivska N. Inverse Problem for Two-Dimensional Heat Equation with an Unknown Source / Nelya Pabyrivska, Viktor Pabyrivskyy // Data stream mining and processing : proceedings of the IEEE second international conference, 21-25 August 2018, Lviv. — Львів : Lviv Politechnic Publishing House, 2018. — P. 361–363. — (Hybrid Systems of Computational Intelligence). | |
| dc.identifier.isbn | © Національний університет „Львівська політехніка“, 2018 | |
| dc.identifier.isbn | © Національний університет „Львівська політехніка“, 2018 | |
| dc.identifier.uri | https://ena.lpnu.ua/handle/ntb/52524 | - |
| dc.description.abstract | The paper establishes existence and unique
conditions for an inverse problem with an unknown source.
The unknown source is a polynom for two spatial variables
with unknown coefficients depending on time. | |
| dc.format.extent | 361-363 | |
| dc.language.iso | en | |
| dc.publisher | Lviv Politechnic Publishing House | |
| dc.relation.ispartof | Data stream mining and processing : proceedings of the IEEE second international conference, 2018 | |
| dc.subject | inverse problem | |
| dc.subject | Green function | |
| dc.subject | Volterra integral equations | |
| dc.subject | unknown source | |
| dc.title | Inverse Problem for Two-Dimensional Heat Equation with an Unknown Source | |
| dc.type | Conference Abstract | |
| dc.rights.holder | © Національний університет “Львівська політехніка”, 2018 | |
| dc.contributor.affiliation | Lviv Politechnic National University | |
| dc.format.pages | 3 | |
| dc.identifier.citationen | Pabyrivska N. Inverse Problem for Two-Dimensional Heat Equation with an Unknown Source / Nelya Pabyrivska, Viktor Pabyrivskyy // Data stream mining and processing : proceedings of the IEEE second international conference, 21-25 August 2018, Lviv. — Lviv Politechnic Publishing House, 2018. — P. 361–363. — (Hybrid Systems of Computational Intelligence). | |
| dc.relation.references | [1] E. Savateev, “The problem of identification of a coefficient in a parabolic equation,” Siberian Mathematical Journal. vol.36, no. 1. pp. 177-185, 1995. | |
| dc.relation.references | [2] M. Ivanchov, “Inverse problem for the multidimensional heat equation with unknown source,” Matematychni Studii. no16, pp. 93-98, 2001. | |
| dc.relation.references | [3] Dinh Nho Hào, Phan Xuan Thanh, D. Lesnic, and M. Ivanchov, “Determination of a source in the heat equation from integral observations,” Journal of Computational and Applied Mathematics, no. 264, pp. 82–98, 2014. | |
| dc.relation.references | [4] M. S. Hussein, and D. Lesnic, “Simultaneous determination of timedependent coefficients and heat source,” International Journal for Computational Methods in Engineering Science and Mechanics, vol. 17, pp. 401-411, August 2016. | |
| dc.relation.references | [5] N. Protsakh, “Inverse problem for weakly nonlinear ultraparabolic equation with three unknown functions of different arguments on the right side,” Ukrainian Mathematical Journal. vol. 66, no. 3, pp. 371-390, 2014. | |
| dc.relation.references | [6] K. Kasemets, and J. Janno, “Reconstruction of a Source Term in a Parabolic Integro-Differential Equation from Final Data,” Mathematical Modelling and Analysis, vol. 16, no. 2, pp.199–219, 2011. | |
| dc.relation.references | [7] M. Hussein, D. Lesnic, and M. Ivanchov, “Identification of a Heterogeneous Orthotropic Conductivity in a Rectangular Domain,” International Journal of Novel Ideas: Mathematics, S.l., vol. 1, pp. 1-11, apr. 2017. | |
| dc.relation.references | [8] N. Pabyrivska, and V. Vlasov, “The determination of major coefficient factor in parabolic equation,” Mathematical methods and physico-mechanical fields, vol.49, no. 3, pp.18-25, 2006. | |
| dc.relation.references | [9] N. Pabyrivska, and O. Varenyk, “The determination of major coefficient factor in parabolic equation,” Lviv University Paper. Ed.64,. pp.181-189. | |
| dc.relation.references | [10] M. Ivanchov, Inverse problem for equations of parabolic type. Mathematical Studies. Monograph Series. Lviv. VNTL Publishers. vol.10, 2003. | |
| dc.relation.references | [11] A. Hasanov, “Simultaneus determination of source terms in liner parabolic problem from the final overdetermination approach,” J. Math. Anal.Appl., vol. 330(2) pp. 766-779, 207. Doi:10.1016/j.jmaa.2006.08.018. | |
| dc.relation.references | [12] A. Lorenzi and G. Mola, “Identefication of unknown terms in convolution integro-differential equations in a Banach space,” J.Inverse Ill-Posed Probl., vol. 18(3), pp. 321-355, 2010. Doi:10.1515/jllp.2010.016. | |
| dc.relation.references | [13] E. Pais, “Identification of memory kernels in heat flow measuring heat flux at the ends of the bar,” Math. Model. Anal., vol. 15(4), pp. 473-490, 2010. Doi:10.3846/1392-6292.2010.15.473-490. | |
| dc.relation.referencesen | [1] E. Savateev, "The problem of identification of a coefficient in a parabolic equation," Siberian Mathematical Journal. vol.36, no. 1. pp. 177-185, 1995. | |
| dc.relation.referencesen | [2] M. Ivanchov, "Inverse problem for the multidimensional heat equation with unknown source," Matematychni Studii. no16, pp. 93-98, 2001. | |
| dc.relation.referencesen | [3] Dinh Nho Hào, Phan Xuan Thanh, D. Lesnic, and M. Ivanchov, "Determination of a source in the heat equation from integral observations," Journal of Computational and Applied Mathematics, no. 264, pp. 82–98, 2014. | |
| dc.relation.referencesen | [4] M. S. Hussein, and D. Lesnic, "Simultaneous determination of timedependent coefficients and heat source," International Journal for Computational Methods in Engineering Science and Mechanics, vol. 17, pp. 401-411, August 2016. | |
| dc.relation.referencesen | [5] N. Protsakh, "Inverse problem for weakly nonlinear ultraparabolic equation with three unknown functions of different arguments on the right side," Ukrainian Mathematical Journal. vol. 66, no. 3, pp. 371-390, 2014. | |
| dc.relation.referencesen | [6] K. Kasemets, and J. Janno, "Reconstruction of a Source Term in a Parabolic Integro-Differential Equation from Final Data," Mathematical Modelling and Analysis, vol. 16, no. 2, pp.199–219, 2011. | |
| dc.relation.referencesen | [7] M. Hussein, D. Lesnic, and M. Ivanchov, "Identification of a Heterogeneous Orthotropic Conductivity in a Rectangular Domain," International Journal of Novel Ideas: Mathematics, S.l., vol. 1, pp. 1-11, apr. 2017. | |
| dc.relation.referencesen | [8] N. Pabyrivska, and V. Vlasov, "The determination of major coefficient factor in parabolic equation," Mathematical methods and physico-mechanical fields, vol.49, no. 3, pp.18-25, 2006. | |
| dc.relation.referencesen | [9] N. Pabyrivska, and O. Varenyk, "The determination of major coefficient factor in parabolic equation," Lviv University Paper. Ed.64,. pp.181-189. | |
| dc.relation.referencesen | [10] M. Ivanchov, Inverse problem for equations of parabolic type. Mathematical Studies. Monograph Series. Lviv. VNTL Publishers. vol.10, 2003. | |
| dc.relation.referencesen | [11] A. Hasanov, "Simultaneus determination of source terms in liner parabolic problem from the final overdetermination approach," J. Math. Anal.Appl., vol. 330(2) pp. 766-779, 207. Doi:10.1016/j.jmaa.2006.08.018. | |
| dc.relation.referencesen | [12] A. Lorenzi and G. Mola, "Identefication of unknown terms in convolution integro-differential equations in a Banach space," J.Inverse Ill-Posed Probl., vol. 18(3), pp. 321-355, 2010. Doi:10.1515/jllp.2010.016. | |
| dc.relation.referencesen | [13] E. Pais, "Identification of memory kernels in heat flow measuring heat flux at the ends of the bar," Math. Model. Anal., vol. 15(4), pp. 473-490, 2010. Doi:10.3846/1392-6292.2010.15.473-490. | |
| dc.citation.conference | IEEE second international conference "Data stream mining and processing" | |
| dc.citation.spage | 361 | |
| dc.citation.epage | 363 | |
| dc.coverage.placename | Львів | |
| Appears in Collections: | Data stream mining and processing : proceedings of the IEEE second international conference
|
