Inverse problem for a two-dimensional strongly degenerate heat equation
dc.contributor.author | Ivanchov, Mykola | |
dc.contributor.author | Vlasov, Vitaliy | |
dc.date.accessioned | 2022-01-26T21:59:00Z | |
dc.date.available | 2022-01-26T21:59:00Z | |
dc.date.issued | 2018-03-20 | |
dc.description.abstract | This article concerns the existence and uniqueness of solutions in the problem of identifying the leading coefficient in a two-dimensional heat equation. We suppose that unknown coefficient depends on the time variable and the equation is strongly degenerate. Applying Schauder fixed-point theorem, we find conditions for existence of a classical solution. | |
dc.description.department | Mathematics | |
dc.format | Text | |
dc.format.extent | 17 pages | |
dc.format.medium | 1 file (.pdf) | |
dc.identifier.citation | Ivanchov, M., & Vlasov, V. (2018). Inverse problem for a two-dimensional strongly degenerate heat equation. Electronic Journal of Differential Equations, 2018(77), pp. 1-17. | |
dc.identifier.issn | 1072-6691 | |
dc.identifier.uri | https://hdl.handle.net/10877/15219 | |
dc.language.iso | en | |
dc.publisher | Texas State University, Department of Mathematics | |
dc.rights | Attribution 4.0 International | |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
dc.source | Electronic Journal of Differential Equations, 2018, San Marcos, Texas: Texas State University and University of North Texas. | |
dc.subject | Inverse problem | |
dc.subject | Strongly degenerate heat equation | |
dc.subject | Green function | |
dc.subject | Classical solution | |
dc.title | Inverse problem for a two-dimensional strongly degenerate heat equation | |
dc.type | Article |