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Schauder theory for Dirichlet elliptic operators in divergence form

✍ Scribed by Miyazaki, Yoichi


Book ID
120378850
Publisher
Springer
Year
2013
Tongue
English
Weight
413 KB
Volume
13
Category
Article
ISSN
1424-3199

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## Abstract We consider a second‐order differential operator __A__(x)=βˆ’__βˆ‘__βˆ‚~__i__~__a__~__ij__~(x)βˆ‚~__j__~+ __βˆ‘__βˆ‚~__j__~(__b__~__j__~(x)Β·)+__c__(x) on ℝ^__d__^, on a bounded domain __D__ with Dirichlet boundary conditions on βˆ‚__D__, under mild assumptions on the coefficients of the diffusion ten