Well-Posedness of the Cauchy Problem for Hyperbolic Equations with Non-Lipschitz Coefficients
We consider hyperbolic equations with anisotropic elliptic part and some non-Lipschitz coefficients. We prove well-posedness of the corresponding Cauchy problem in some functional spaces. These functional spaces have finite smoothness with respect to variables corresponding to regular coefficients a...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2009-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2009/182371 |
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| _version_ | 1832567706265583616 |
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| author | Akbar B. Aliev Gulnara D. Shukurova |
| author_facet | Akbar B. Aliev Gulnara D. Shukurova |
| author_sort | Akbar B. Aliev |
| collection | DOAJ |
| description | We consider hyperbolic equations with anisotropic elliptic part and some non-Lipschitz coefficients.
We prove well-posedness of the corresponding Cauchy problem in some functional spaces. These functional spaces have finite smoothness with respect to variables corresponding to regular coefficients and infinite smoothness
with respect to variables corresponding to singular coefficients. |
| format | Article |
| id | doaj-art-13e07bb513024d72bcf620ffbe73252e |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2009-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-13e07bb513024d72bcf620ffbe73252e2025-02-03T01:00:38ZengWileyAbstract and Applied Analysis1085-33751687-04092009-01-01200910.1155/2009/182371182371Well-Posedness of the Cauchy Problem for Hyperbolic Equations with Non-Lipschitz CoefficientsAkbar B. Aliev0Gulnara D. Shukurova1Baku State University, Academic Zahid Xalilov str., 23, AZ 1148 Baku, AzerbaijanBaku State University, Academic Zahid Xalilov str., 23, AZ 1148 Baku, AzerbaijanWe consider hyperbolic equations with anisotropic elliptic part and some non-Lipschitz coefficients. We prove well-posedness of the corresponding Cauchy problem in some functional spaces. These functional spaces have finite smoothness with respect to variables corresponding to regular coefficients and infinite smoothness with respect to variables corresponding to singular coefficients.http://dx.doi.org/10.1155/2009/182371 |
| spellingShingle | Akbar B. Aliev Gulnara D. Shukurova Well-Posedness of the Cauchy Problem for Hyperbolic Equations with Non-Lipschitz Coefficients Abstract and Applied Analysis |
| title | Well-Posedness of the Cauchy Problem for Hyperbolic Equations with Non-Lipschitz Coefficients |
| title_full | Well-Posedness of the Cauchy Problem for Hyperbolic Equations with Non-Lipschitz Coefficients |
| title_fullStr | Well-Posedness of the Cauchy Problem for Hyperbolic Equations with Non-Lipschitz Coefficients |
| title_full_unstemmed | Well-Posedness of the Cauchy Problem for Hyperbolic Equations with Non-Lipschitz Coefficients |
| title_short | Well-Posedness of the Cauchy Problem for Hyperbolic Equations with Non-Lipschitz Coefficients |
| title_sort | well posedness of the cauchy problem for hyperbolic equations with non lipschitz coefficients |
| url | http://dx.doi.org/10.1155/2009/182371 |
| work_keys_str_mv | AT akbarbaliev wellposednessofthecauchyproblemforhyperbolicequationswithnonlipschitzcoefficients AT gulnaradshukurova wellposednessofthecauchyproblemforhyperbolicequationswithnonlipschitzcoefficients |