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Oseen flows and Muckenhoupt weights

Prelegent(ci)
Miroslav Krbec
Afiliacja
Czech Academy of Sciences
Termin
19 kwietnia 2007 12:30
Pokój
p. 2100
Seminarium
Seminarium Zakładu Równań Fizyki Matematycznej

We shall consider time-periodic Oseen flows around a rotating body and establish weighted apriori estimates in L^q -spaces with weights of Muckenhoupt type. After a time-dependent change of coordinates the problem is reduced to a stationary Oseen equation with an additional term in the equation of momentum and can be handled with tools as variants of Muckenhoupt weights, weighted Littlewood-Paley decompositions, maximal operators, and anisotropic factorization theorems.