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Elliptic equations for measures: Regularity and global bounds of densities

✍ Scribed by Vladimir I. Bogachev; Nicolai V. Krylov; Michael Röckner

Publisher
Elsevier Science
Year
2006
Tongue
English
Weight
200 KB
Volume
85
Category
Article
ISSN
0021-7824

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✦ Synopsis

We consider elliptic equations of the form L * μ = ν for measures on R n . The membership of solutions in the Sobolev classes W p,1 (R n ) is established under appropriate conditions on the coefficients of L. Bounds of the form (x) CΦ(x) -1 for the corresponding densities are obtained.

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