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Maximal L p -regularity for elliptic operators with VMO-coefficients

Horst Heck () and Matthias Hieber ()
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Horst Heck: Technische Universität Darmstadt, Fachbereich Mathematik
Matthias Hieber: Technische Universität Darmstadt, Fachbereich Mathematik

A chapter in Nonlinear Evolution Equations and Related Topics, 2003, pp 332-359 from Springer

Abstract: Abstract In this paper we show that the parabolic problem u t Au = f on ℝ n associated with elliptic operators A having coefficients in VMO ∩L ∞ has the property of maximal L p -regularity.

Keywords: 35J45; 35K55; Maximal regularity; elliptic operators; VMO-coefficients (search for similar items in EconPapers)
Date: 2003
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-0348-7924-8_18

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DOI: 10.1007/978-3-0348-7924-8_18

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