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:
| Дата: | 2005 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2005
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| Назва видання: | Нелинейные граничные задачи |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/169155 |
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| 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| id |
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irk-123456789-1691552020-06-08T01:26:08Z Initial-boundary problems for semilinear hiperbolic systems with singular coefficients Kmit, I. 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. 2005 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/169155 en Нелинейные граничные задачи Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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. |
| format |
Article |
| author |
Kmit, I. |
| spellingShingle |
Kmit, I. Initial-boundary problems for semilinear hiperbolic systems with singular coefficients Нелинейные граничные задачи |
| author_facet |
Kmit, I. |
| author_sort |
Kmit, I. |
| title |
Initial-boundary problems for semilinear hiperbolic systems with singular coefficients |
| title_short |
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_sort |
initial-boundary problems for semilinear hiperbolic systems with singular coefficients |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2005 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/169155 |
| 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. |
| series |
Нелинейные граничные задачи |
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2023-10-18T22:24:33Z |
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