Inverse problem of determining the coefficients in a degenerate parabolic equation
We consider the inverse problem of identifying the time-dependent coefficients in a degenerate parabolic equation. The conditions of existence and uniqueness of the classical solution to this problem are established. We investigate the case of weak power degeneration.
| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2014-08-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2014/172/abstr.html |
| _version_ | 1818254266429603840 |
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| author | Nadiya Huzyk |
| author_facet | Nadiya Huzyk |
| author_sort | Nadiya Huzyk |
| collection | DOAJ |
| description | We consider the inverse problem of identifying the time-dependent
coefficients in a degenerate parabolic equation.
The conditions of existence and uniqueness of the classical solution to this
problem are established. We investigate the case of weak power degeneration. |
| first_indexed | 2024-12-12T16:53:14Z |
| format | Article |
| id | doaj.art-da7d0cfff9a845ee9a4e134b01f0d032 |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-12T16:53:14Z |
| publishDate | 2014-08-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-da7d0cfff9a845ee9a4e134b01f0d0322022-12-22T00:18:19ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912014-08-012014171,111Inverse problem of determining the coefficients in a degenerate parabolic equationNadiya Huzyk0 Ivan Franko National Univ., Lviv, Ukraine We consider the inverse problem of identifying the time-dependent coefficients in a degenerate parabolic equation. The conditions of existence and uniqueness of the classical solution to this problem are established. We investigate the case of weak power degeneration.http://ejde.math.txstate.edu/Volumes/2014/172/abstr.htmlInverse problemdetermining coefficientsparabolic equationweak power degeneration |
| spellingShingle | Nadiya Huzyk Inverse problem of determining the coefficients in a degenerate parabolic equation Electronic Journal of Differential Equations Inverse problem determining coefficients parabolic equation weak power degeneration |
| title | Inverse problem of determining the coefficients in a degenerate parabolic equation |
| title_full | Inverse problem of determining the coefficients in a degenerate parabolic equation |
| title_fullStr | Inverse problem of determining the coefficients in a degenerate parabolic equation |
| title_full_unstemmed | Inverse problem of determining the coefficients in a degenerate parabolic equation |
| title_short | Inverse problem of determining the coefficients in a degenerate parabolic equation |
| title_sort | inverse problem of determining the coefficients in a degenerate parabolic equation |
| topic | Inverse problem determining coefficients parabolic equation weak power degeneration |
| url | http://ejde.math.txstate.edu/Volumes/2014/172/abstr.html |
| work_keys_str_mv | AT nadiyahuzyk inverseproblemofdeterminingthecoefficientsinadegenerateparabolicequation |