Maximal Regular Abstract Elliptic Equations and Applications
| dc.authorscopusid | 6508234400 | |
| dc.authorwosid | Shakhmurov, Veli/AAG-8871-2019 | |
| dc.contributor.author | Shakhmurov, V. B. | |
| dc.date.accessioned | 2024-05-25T11:23:01Z | |
| dc.date.available | 2024-05-25T11:23:01Z | |
| dc.date.issued | 2010 | |
| dc.department | Okan University | en_US |
| dc.department-temp | Okan Univ, Istanbul, Turkey | en_US |
| dc.description.abstract | The oblique derivative problem is addressed for an elliptic operator differential equation with variable coefficients in a smooth domain. Several conditions are obtained, guaranteing the maximal regularity, the Fredholm property, and the positivity of this problem in vector-valued L (p)-spaces. The principal part of the corresponding differential operator is nonselfadjoint. We show the discreteness of the spectrum and completeness of the root elements of this differential operator. These results are applied to anisotropic elliptic equations. | en_US |
| dc.identifier.citationcount | 6 | |
| dc.identifier.doi | 10.1007/s11202-010-0093-5 | |
| dc.identifier.endpage | 948 | en_US |
| dc.identifier.issn | 0037-4466 | |
| dc.identifier.issn | 1573-9260 | |
| dc.identifier.issue | 5 | en_US |
| dc.identifier.scopus | 2-s2.0-77958603041 | |
| dc.identifier.scopusquality | Q3 | |
| dc.identifier.startpage | 935 | en_US |
| dc.identifier.uri | https://doi.org/10.1007/s11202-010-0093-5 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14517/657 | |
| dc.identifier.volume | 51 | en_US |
| dc.identifier.wos | WOS:000283300600017 | |
| dc.identifier.wosquality | Q4 | |
| dc.language.iso | en | |
| dc.publisher | Maik Nauka/interperiodica/springer | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.scopus.citedbyCount | 5 | |
| dc.subject | boundary value problem | en_US |
| dc.subject | operator differential equation | en_US |
| dc.subject | completeness of root elements | en_US |
| dc.subject | Banach-valued function spaces | en_US |
| dc.subject | operator-valued multipliers | en_US |
| dc.subject | interpolation of Banach spaces | en_US |
| dc.subject | semigroup of operators | en_US |
| dc.title | Maximal Regular Abstract Elliptic Equations and Applications | en_US |
| dc.type | Article | en_US |
| dc.wos.citedbyCount | 6 |