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Monotonicity of certain differential operators in divergence form

✍ Scribed by L. Boccardo; B. Dacorogna

Publisher
Springer
Year
1989
Tongue
English
Weight
190 KB
Volume
64
Category
Article
ISSN
0025-2611

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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