Calderón–Zygmund Theory for Second-Order Elliptic Systems on Riemannian Manifolds

D. Mitrea (), I. Mitrea (), M. Mitrea () and B. Schmutzler ()
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D. Mitrea: University of Missouri
I. Mitrea: Temple University
M. Mitrea: University of Missouri
B. Schmutzler: University of Missouri

Chapter Chapter 35 in Integral Methods in Science and Engineering, 2015, pp 413-426 from Springer

Abstract: Abstract The main goal here is to develop a Calderón-Zygmund theory for singular integral operators of boundary layer potential type naturally associated with second-order elliptic systems on Riemannian manifolds which is effective in the treatment of boundary value problems in rough domains.

Keywords: Second-Order Elliptic System; Riemannian Manifold; Uniformly Rectifiable Domain; Fundamental Solution; Double Layer; Single Layer; Nontangential Maximal Function (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-16727-5_35

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DOI: 10.1007/978-3-319-16727-5_35

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