BMO estimates near the boundary for solutions of elliptic systems
| dc.contributor.author | El Baraka, Azzeddine | |
| dc.date.accessioned | 2021-07-20T14:17:04Z | |
| dc.date.available | 2021-07-20T14:17:04Z | |
| dc.date.issued | 2006-08-31 | |
| dc.description.abstract | In this paper we show that the scale of Sobolev-Campanato spaces Lp,λ,s contain the general BMO-Triebel-Lizorkin spaces Fs∞,p as special cases, so that the conjecture by Triebel regarding estimates for solutions of scalar regular elliptic boundary value problems in Fs∞,p spaces (solved in the case p = 2 in a previous work) is completely solved now. Also we prove that the method used for the scalar case works for systems, and we give a priori estimates near the boundary for solutions of regular elliptic systems in the general spaces Lp,λ,s containing BMO, Fs∞,p, and Morrey-Campanato spaces L2,λ as special cases. This result extends the work by the author in the scalar case. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 21 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | El Baraka, A. (2006). BMO estimates near the boundary for solutions of elliptic systems. <i>Electronic Journal of Differential Equations, 2006</i>(101), pp. 1-21. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/13974 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University-San Marcos, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2006, San Marcos, Texas: Texas State University-San Marcos and University of North Texas. | |
| dc.subject | Elliptic systems | |
| dc.subject | BMO-Triebel-Lizorkin spaces | |
| dc.subject | Campanato spaces | |
| dc.title | BMO estimates near the boundary for solutions of elliptic systems | en_US |
| dc.type | Article |