Initial-boundary problems for semilinear hiperbolic systems with singular coefficients
In the paper we use the framework of Colombeau algebras of generalized functions to study existence and uniqueness of global generalized solutions to mixed non-local problems for a semilinear hyperbolic system. Coefficients of the system as well as initial and boundary data are allowed to be strongl...
Збережено в:
| Опубліковано в: : | Нелинейные граничные задачи |
|---|---|
| Дата: | 2005 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2005
|
| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/169155 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Initial-boundary problems for semilinear hiperbolic systems with singular coefficients / I. Kmit // Нелинейные граничные задачи. — 2005. — Т. 15. — С. 74-84. — Бібліогр.: 17 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1859650790745964544 |
|---|---|
| author | Kmit, I. |
| author_facet | Kmit, I. |
| citation_txt | Initial-boundary problems for semilinear hiperbolic systems with singular coefficients / I. Kmit // Нелинейные граничные задачи. — 2005. — Т. 15. — С. 74-84. — Бібліогр.: 17 назв. — англ. |
| collection | DSpace DC |
| container_title | Нелинейные граничные задачи |
| description | In the paper we use the framework of Colombeau algebras of generalized functions to study existence and uniqueness of global generalized solutions to mixed non-local problems for a semilinear hyperbolic system. Coefficients of the system as well as initial and boundary data are allowed to be strongly singular, as the Dirac delta function and derivatives thereof. To obtain the existence-uniqueness result we prove a criterion of invertibilitv in the full version of the Colombeau algebras.
|
| first_indexed | 2025-12-07T13:33:42Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-169155 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 0236-0497 |
| language | English |
| last_indexed | 2025-12-07T13:33:42Z |
| publishDate | 2005 |
| publisher | Інститут прикладної математики і механіки НАН України |
| record_format | dspace |
| spelling | Kmit, I. 2020-06-06T18:05:51Z 2020-06-06T18:05:51Z 2005 Initial-boundary problems for semilinear hiperbolic systems with singular coefficients / I. Kmit // Нелинейные граничные задачи. — 2005. — Т. 15. — С. 74-84. — Бібліогр.: 17 назв. — англ. 0236-0497 https://nasplib.isofts.kiev.ua/handle/123456789/169155 In the paper we use the framework of Colombeau algebras of generalized functions to study existence and uniqueness of global generalized solutions to mixed non-local problems for a semilinear hyperbolic system. Coefficients of the system as well as initial and boundary data are allowed to be strongly singular, as the Dirac delta function and derivatives thereof. To obtain the existence-uniqueness result we prove a criterion of invertibilitv in the full version of the Colombeau algebras. en Інститут прикладної математики і механіки НАН України Нелинейные граничные задачи Initial-boundary problems for semilinear hiperbolic systems with singular coefficients Article published earlier |
| spellingShingle | Initial-boundary problems for semilinear hiperbolic systems with singular coefficients Kmit, I. |
| title | Initial-boundary problems for semilinear hiperbolic systems with singular coefficients |
| title_full | Initial-boundary problems for semilinear hiperbolic systems with singular coefficients |
| title_fullStr | Initial-boundary problems for semilinear hiperbolic systems with singular coefficients |
| title_full_unstemmed | Initial-boundary problems for semilinear hiperbolic systems with singular coefficients |
| title_short | Initial-boundary problems for semilinear hiperbolic systems with singular coefficients |
| title_sort | initial-boundary problems for semilinear hiperbolic systems with singular coefficients |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/169155 |
| work_keys_str_mv | AT kmiti initialboundaryproblemsforsemilinearhiperbolicsystemswithsingularcoefficients |