保存先:
| 第一著者: | |
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| フォーマット: | Preprint |
| 出版事項: |
2004
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| 主題: | |
| オンライン･アクセス: | https://arxiv.org/abs/math/0409229 |
| タグ: |
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目次:
- 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 invertibility in the full version of the Colombeau algebras.