Degenerate Differential Operators with Parameters
The nonlocal boundary value problems for regular degenerate differential-operator equations with the parameter are studied. The principal parts of the appropriate generated differential operators are non-self-adjoint. Several conditions for the maximal regularity uniformly with respect to the parame...
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| Format: | Article |
| Language: | English |
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Wiley
2007-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2007/51410 |
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| _version_ | 1832554695886897152 |
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| author | Veli B. Shakhmurov |
| author_facet | Veli B. Shakhmurov |
| author_sort | Veli B. Shakhmurov |
| collection | DOAJ |
| description | The nonlocal boundary value problems for regular degenerate differential-operator equations with the parameter are studied. The principal parts of the appropriate generated differential operators are non-self-adjoint. Several conditions for the maximal regularity uniformly with respect to the parameter and the Fredholmness in Banach-valued Lp− spaces of these problems are given. In applications, the nonlocal boundary value problems for degenerate elliptic partial differential equations and for systems of elliptic equations with parameters on cylindrical domain are studied. |
| format | Article |
| id | doaj-art-349c80d4070b476d8512cd22af64e94f |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2007-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-349c80d4070b476d8512cd22af64e94f2025-02-03T05:50:50ZengWileyAbstract and Applied Analysis1085-33751687-04092007-01-01200710.1155/2007/5141051410Degenerate Differential Operators with ParametersVeli B. Shakhmurov0Department of Electrical-Electronics Engineering, Faculty of Engineering, Istanbul University, Avcilar, Istanbul 34320, TurkeyThe nonlocal boundary value problems for regular degenerate differential-operator equations with the parameter are studied. The principal parts of the appropriate generated differential operators are non-self-adjoint. Several conditions for the maximal regularity uniformly with respect to the parameter and the Fredholmness in Banach-valued Lp− spaces of these problems are given. In applications, the nonlocal boundary value problems for degenerate elliptic partial differential equations and for systems of elliptic equations with parameters on cylindrical domain are studied.http://dx.doi.org/10.1155/2007/51410 |
| spellingShingle | Veli B. Shakhmurov Degenerate Differential Operators with Parameters Abstract and Applied Analysis |
| title | Degenerate Differential Operators with Parameters |
| title_full | Degenerate Differential Operators with Parameters |
| title_fullStr | Degenerate Differential Operators with Parameters |
| title_full_unstemmed | Degenerate Differential Operators with Parameters |
| title_short | Degenerate Differential Operators with Parameters |
| title_sort | degenerate differential operators with parameters |
| url | http://dx.doi.org/10.1155/2007/51410 |
| work_keys_str_mv | AT velibshakhmurov degeneratedifferentialoperatorswithparameters |