Linear Inverse Coefficient Problems for Degenerate Elliptic Equations Научная публикация
| Сборник | Modern Methods in Mathematical Physics and their Applications Сборник, 2026. 328 c. ISBN 978-3-032-13871-2. |
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| Вых. Данные | Год: 2026, Страницы: 179-188 Страниц : 10 DOI: 10.1007/978-3-032-13872-9_21 | ||
| Ключевые слова | Degenerate elliptic equations · Inverse problems · Unknown external influence · Regular solutions · Existence · Uniqueness | ||
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Реферат:
We study the solvability in Sobolev spaces of inverse coefficient problems of finding the solution u(x, t). and the coefficient q(t). in the equation
. utt + ϕ(t)uxx + au = f (x, t) + q(t)h(x, t) where ϕ(t). is a nonnegative function. We prove existence and uniqueness theorems for regular solutions, that is, solutions having all the weak derivatives in the sense of Sobolev occurring in the equation. Some possible generalizations of the results are also discussed.
Библиографическая ссылка:
Kozhanov A.I.
Linear Inverse Coefficient Problems for Degenerate Elliptic Equations
В сборнике Modern Methods in Mathematical Physics and their Applications. 2026. – C.179-188. – ISBN 978-3-032-13871-2. DOI: 10.1007/978-3-032-13872-9_21 OpenAlex
Linear Inverse Coefficient Problems for Degenerate Elliptic Equations
В сборнике Modern Methods in Mathematical Physics and their Applications. 2026. – C.179-188. – ISBN 978-3-032-13871-2. DOI: 10.1007/978-3-032-13872-9_21 OpenAlex
Даты:
| Опубликована online: | 4 июн. 2026 г. |
Идентификаторы БД:
| ≡ OpenAlex: | W7168608935 |