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Regularity in Morrey Spaces of Strong Solutions to Nondivergence Elliptic Equations withVMOCoefficients

✍ Scribed by Dashan Fan; Shanzhen Lu; Dachun Yang

Book ID
111583259
Publisher
Walter de Gruyter GmbH & Co. KG
Year
1998
Tongue
English
Weight
552 KB
Volume
5
Category
Article
ISSN
1072-947X

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Global Morrey Regularity of Strong Solut
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✍ Giuseppe Di Fazio; Dian K. Palagachev; Maria Alessandra Ragusa πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 159 KB

Well-posedness is proved in the space W 2, p, \* (0) & W 1, p 0 (0) for the Dirichlet problem u=0 a.e. in 0 on 0 if the principal coefficients a ij (x) of the uniformly elliptic operator belong to VMO & L (0). 1999 Academic Press 1. INTRODUCTION In the last thirty years a number of papers have bee