Degenerate abstract parabolic equations and applications
| dc.authorscopusid | 6508234400 | |
| dc.authorscopusid | 25634561700 | |
| dc.contributor.author | Shakhmurov,V.B. | |
| dc.contributor.author | Sahmurova,A. | |
| dc.date.accessioned | 2024-10-15T20:22:54Z | |
| dc.date.available | 2024-10-15T20:22:54Z | |
| dc.date.issued | 2015 | |
| dc.department | Okan University | en_US |
| dc.department-temp | Shakhmurov V.B., Department of Mechanical Engineering, Okan University, Akfirat, Tuzla, Istanbul, 34959, Turkey; Sahmurova A., Department of Environomental Engineering, Okan University, Akfirat, Tuzla, Istanbul, 34959, Turkey | en_US |
| dc.description.abstract | Linear and nonlinear degenerate abstract parabolic equations with variable coefficients are studied. Here the equations and boundary conditions are degenerated on all boundary and contain some parameters. The linear problem is considered on the moving domain. The separability properties of elliptic and parabolic problems and Strichartz type estimates in mixed Lp spaces are obtained. Moreover, the existence and uniqueness of optimal regular solution of mixed problem for nonlinear parabolic equation is established. Note that, these problems arise in fluid mechanics and environmental engineering. | en_US |
| dc.identifier.citationcount | 0 | |
| dc.identifier.endpage | 33 | en_US |
| dc.identifier.issn | 1938-9787 | |
| dc.identifier.issue | 2 | en_US |
| dc.identifier.scopus | 2-s2.0-84946545035 | |
| dc.identifier.startpage | 15 | en_US |
| dc.identifier.uri | https://hdl.handle.net/20.500.14517/6805 | |
| dc.identifier.volume | 18 | en_US |
| dc.language.iso | en | |
| dc.publisher | Mathematical Research Publishers | en_US |
| dc.relation.ispartof | Communications in Mathematical Analysis | 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 | 0 | |
| dc.subject | Degenerate PDE | en_US |
| dc.subject | Differential-operator equations | en_US |
| dc.subject | Nonlinear problems | en_US |
| dc.subject | Positive operators in Banach spaces | en_US |
| dc.subject | Semigroups of operators | en_US |
| dc.subject | Separabile differential operators | en_US |
| dc.title | Degenerate abstract parabolic equations and applications | en_US |
| dc.type | Article | en_US |