Hyperbolic equations with unknown coefficients Full article
| Journal |
Symmetry
ISSN: 2073-8994 |
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| Output data | Year: 2020, Volume: 12, Number: 9, Article number : 1539, Pages count : DOI: 10.3390/SYM12091539 | ||
| Tags | Existence; Final-integral overdetermination condition; Hyperbolic equation; Inverse problem; Regular solution; Uniqueness; Unknown coefficient | ||
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Abstract:
We study the solvability of nonlinear inverse problems of determining the low order coefficients in the second order hyperbolic equation. The overdetermination condition is specified as an integral condition with final data. Existence and uniqueness theorems for regular solutions are proved (i.e., for solutions having all weak derivatives in the sense of Sobolev, occuring in the equation). © 2020 by the authors.
Cite:
Kozhanov A.I.
Hyperbolic equations with unknown coefficients
Symmetry. 2020. V.12. N9. 1539 . DOI: 10.3390/SYM12091539 WOS Scopus OpenAlex
Hyperbolic equations with unknown coefficients
Symmetry. 2020. V.12. N9. 1539 . DOI: 10.3390/SYM12091539 WOS Scopus OpenAlex
Identifiers:
| Web of science: | WOS:000587662100001 |
| Scopus: | 2-s2.0-85092536425 |
| OpenAlex: | W3087634166 |