On some elliptic problems with nonlocal boundary coefficient-operator conditions in the framework of Hölderian spaces
In this paper we give some new results on second order differential-operator equations of elliptic type with nonregular boundary conditions with coefficient-operator. The study is developed in Hölder spaces and uses the reduction method of S. G. Krein. Necessary and sufficient conditions of compatib...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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University of Szeged
2013-06-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Subjects: | |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=1550 |
| _version_ | 1797830671546187776 |
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| author | Houari Hammou Rabah Labbas Stéphane Maingot Ahmed Medeghri |
| author_facet | Houari Hammou Rabah Labbas Stéphane Maingot Ahmed Medeghri |
| author_sort | Houari Hammou |
| collection | DOAJ |
| description | In this paper we give some new results on second order differential-operator equations of elliptic type with nonregular boundary conditions with coefficient-operator. The study is developed in Hölder spaces and uses the reduction method of S. G. Krein. Necessary and sufficient conditions of compatibility are established to obtain different types of solutions. Maximal regularity properties are also studied. |
| first_indexed | 2024-04-09T13:39:47Z |
| format | Article |
| id | doaj.art-bd4b12a08962497980a4eba5628542d9 |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:39:47Z |
| publishDate | 2013-06-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-bd4b12a08962497980a4eba5628542d92023-05-09T07:53:03ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752013-06-0120133613210.14232/ejqtde.2013.1.361550On some elliptic problems with nonlocal boundary coefficient-operator conditions in the framework of Hölderian spacesHouari Hammou0Rabah Labbas1Stéphane Maingot2Ahmed Medeghri3Université de Mostaganem, AlgeriaLaboratoire de Mathématiques Appliquées Université du Havre, Le Havre, FranceLaboratoire de Mathématiques Appliquées Université du Havre, Le Havre, FranceUniversité de Mostaganem, AlgeriaIn this paper we give some new results on second order differential-operator equations of elliptic type with nonregular boundary conditions with coefficient-operator. The study is developed in Hölder spaces and uses the reduction method of S. G. Krein. Necessary and sufficient conditions of compatibility are established to obtain different types of solutions. Maximal regularity properties are also studied.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=1550nonlocal boundary conditionsfractional powers of operatorsinterpolation spacessemigroup theory |
| spellingShingle | Houari Hammou Rabah Labbas Stéphane Maingot Ahmed Medeghri On some elliptic problems with nonlocal boundary coefficient-operator conditions in the framework of Hölderian spaces Electronic Journal of Qualitative Theory of Differential Equations nonlocal boundary conditions fractional powers of operators interpolation spaces semigroup theory |
| title | On some elliptic problems with nonlocal boundary coefficient-operator conditions in the framework of Hölderian spaces |
| title_full | On some elliptic problems with nonlocal boundary coefficient-operator conditions in the framework of Hölderian spaces |
| title_fullStr | On some elliptic problems with nonlocal boundary coefficient-operator conditions in the framework of Hölderian spaces |
| title_full_unstemmed | On some elliptic problems with nonlocal boundary coefficient-operator conditions in the framework of Hölderian spaces |
| title_short | On some elliptic problems with nonlocal boundary coefficient-operator conditions in the framework of Hölderian spaces |
| title_sort | on some elliptic problems with nonlocal boundary coefficient operator conditions in the framework of holderian spaces |
| topic | nonlocal boundary conditions fractional powers of operators interpolation spaces semigroup theory |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=1550 |
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