Strict Solution for a Second Order Differential Equation in Holder Spaces
In this paper we give some results on abstract second order differential elliptic equations of mixed type. The study is performed in Holder continuous Banach spaces. Our main purpose is the study of necessary and sufficient conditions on the data for obtaining existence, uniqueness and maximal regul...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Etamaths Publishing
2019-11-01
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| Series: | International Journal of Analysis and Applications |
| Online Access: | http://www.etamaths.com/index.php/ijaa/article/view/1957 |
| _version_ | 1798043426415968256 |
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| author | Youcef Naas Fatima Zohra Mezeghrani |
| author_facet | Youcef Naas Fatima Zohra Mezeghrani |
| author_sort | Youcef Naas |
| collection | DOAJ |
| description | In this paper we give some results on abstract second order differential elliptic equations of mixed type. The study is performed in Holder continuous Banach spaces. Our main purpose is the study of necessary and sufficient conditions on the data for obtaining existence, uniqueness and maximal regularity properties of the strict solution. The techniques used are based on analytic semigroups theory. |
| first_indexed | 2024-04-11T22:48:55Z |
| format | Article |
| id | doaj.art-5edb476a4836465a96e7d006d01e1bc6 |
| institution | Directory Open Access Journal |
| issn | 2291-8639 |
| language | English |
| last_indexed | 2024-04-11T22:48:55Z |
| publishDate | 2019-11-01 |
| publisher | Etamaths Publishing |
| record_format | Article |
| series | International Journal of Analysis and Applications |
| spelling | doaj.art-5edb476a4836465a96e7d006d01e1bc62022-12-22T03:58:39ZengEtamaths PublishingInternational Journal of Analysis and Applications2291-86392019-11-01176980993419Strict Solution for a Second Order Differential Equation in Holder SpacesYoucef Naas0Fatima Zohra Mezeghrani1Université Oran1, Oran, Algérie.Université Oran1, Oran, AlgérieIn this paper we give some results on abstract second order differential elliptic equations of mixed type. The study is performed in Holder continuous Banach spaces. Our main purpose is the study of necessary and sufficient conditions on the data for obtaining existence, uniqueness and maximal regularity properties of the strict solution. The techniques used are based on analytic semigroups theory.http://www.etamaths.com/index.php/ijaa/article/view/1957 |
| spellingShingle | Youcef Naas Fatima Zohra Mezeghrani Strict Solution for a Second Order Differential Equation in Holder Spaces International Journal of Analysis and Applications |
| title | Strict Solution for a Second Order Differential Equation in Holder Spaces |
| title_full | Strict Solution for a Second Order Differential Equation in Holder Spaces |
| title_fullStr | Strict Solution for a Second Order Differential Equation in Holder Spaces |
| title_full_unstemmed | Strict Solution for a Second Order Differential Equation in Holder Spaces |
| title_short | Strict Solution for a Second Order Differential Equation in Holder Spaces |
| title_sort | strict solution for a second order differential equation in holder spaces |
| url | http://www.etamaths.com/index.php/ijaa/article/view/1957 |
| work_keys_str_mv | AT youcefnaas strictsolutionforasecondorderdifferentialequationinholderspaces AT fatimazohramezeghrani strictsolutionforasecondorderdifferentialequationinholderspaces |