$L_p$-estimates for the solutions of linear problems arising in the study of free boundary problems for a viscous incompressible liquid.
21/11/2012 Wednesday 21st November 2012, 14:00 (Room P3.10, Mathematics Building)
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V. Solonnikov, St. Petersburg Department of Steklov Mathematical Institute of the Academy of Sciences
The communication is concerned with maximum regularity estimates in
anisotropic Sobolev spaces $W_p^{2;1}$
for solutions of linear problems arising in hydrodynamics
and magnetohydrodynamics. The proof is based on the Marcinkiewicz-Mikhlin-Lizorkin theorem on multipliers in the Fourier integrals.
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