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math.PR2010
An extremal problem with applications to testing multivariate independence
Alexander Nazarov, Natalia Stepanova
Some problems of statistics can be reduced to extremal problems of minimizing functionals of smooth functions defined on the cube , . In this paper, we study a cl…
math.AP2010
The Harnack inequality and related properties for solutions to elliptic and parabolic equations with divergence-free lower-order coefficients
Alexander I. Nazarov, Nina N. Ural'tseva
We discuss the problem how "bad" may be lower-order coefficients in elliptic and parabolic second order equations to ensure some qualitative properties of solution such as strong m…