Maximal regular boundary value problems in Banach-valued function spaces and applications
The nonlocal boundary value problems for differential operator equations of second order with dependent coefficients are studied. The principal parts of the differential operators generated by these problems are non-selfadjoint. Several conditions for the maximal regularity and the Fredholmness in B...
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| Format: | Article |
| Language: | English |
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Wiley
2006-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/IJMMS/2006/92134 |
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| _version_ | 1832549580429852672 |
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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 differential operator
equations of second order with dependent coefficients are studied.
The principal parts of the differential operators generated by
these problems are non-selfadjoint. Several conditions for the
maximal regularity and the Fredholmness in Banach-valued
Lp-spaces of these problems are given. By using these
results, the maximal regularity of parabolic nonlocal initial
boundary value problems is shown. In applications, the nonlocal
boundary value problems for quasi elliptic partial differential
equations, nonlocal initial boundary value problems for parabolic
equations, and their systems on cylindrical domain are
studied. |
| format | Article |
| id | doaj-art-698bb6b37c0442b7b8fe21ccb23268e0 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-698bb6b37c0442b7b8fe21ccb23268e02025-02-03T06:10:56ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252006-01-01200610.1155/IJMMS/2006/9213492134Maximal regular boundary value problems in Banach-valued function spaces and applicationsVeli B. Shakhmurov0Department of Electrical-Electronics Engineering, Faculty of Engineering, Istanbul University, Avcilar, Istanbul 34320, TurkeyThe nonlocal boundary value problems for differential operator equations of second order with dependent coefficients are studied. The principal parts of the differential operators generated by these problems are non-selfadjoint. Several conditions for the maximal regularity and the Fredholmness in Banach-valued Lp-spaces of these problems are given. By using these results, the maximal regularity of parabolic nonlocal initial boundary value problems is shown. In applications, the nonlocal boundary value problems for quasi elliptic partial differential equations, nonlocal initial boundary value problems for parabolic equations, and their systems on cylindrical domain are studied.http://dx.doi.org/10.1155/IJMMS/2006/92134 |
| spellingShingle | Veli B. Shakhmurov Maximal regular boundary value problems in Banach-valued function spaces and applications International Journal of Mathematics and Mathematical Sciences |
| title | Maximal regular boundary value problems in Banach-valued
function spaces and applications |
| title_full | Maximal regular boundary value problems in Banach-valued
function spaces and applications |
| title_fullStr | Maximal regular boundary value problems in Banach-valued
function spaces and applications |
| title_full_unstemmed | Maximal regular boundary value problems in Banach-valued
function spaces and applications |
| title_short | Maximal regular boundary value problems in Banach-valued
function spaces and applications |
| title_sort | maximal regular boundary value problems in banach valued function spaces and applications |
| url | http://dx.doi.org/10.1155/IJMMS/2006/92134 |
| work_keys_str_mv | AT velibshakhmurov maximalregularboundaryvalueproblemsinbanachvaluedfunctionspacesandapplications |