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dc.contributor.authorEl Baraka, Azzeddine ( Orcid Icon 0000-0002-1161-947X )
dc.identifier.citationEl Baraka, A. (2006). BMO estimates near the boundary for solutions of elliptic systems. Electronic Journal of Differential Equations, 2006(101), pp. 1-21.en_US

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.format.extent21 pages
dc.format.medium1 file (.pdf)
dc.publisherTexas State University-San Marcos, Department of Mathematicsen_US
dc.sourceElectronic Journal of Differential Equations, 2006, San Marcos, Texas: Texas State University-San Marcos and University of North Texas.
dc.subjectElliptic systemsen_US
dc.subjectBMO-Triebel-Lizorkin spacesen_US
dc.subjectCampanato spacesen_US
dc.titleBMO estimates near the boundary for solutions of elliptic systemsen_US
dc.rights.licenseCreative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.



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