We deal in this Note with linear parabolic (in sense of Petrovskij) systems of order 2b with discontinuous principal coefficients belonging to VMO ∩ L ∞. By means of a priori estimates in Sobolev-Morrey spaces we give a precise characterization of the Morrey, BMO and Hölder regularity of the solutions and their derivatives up to order 2b - 1.

Characterization of the interior regularity for parabolic systems with discontinuous coefficients

SOFTOVA PALAGACHEVA, Lyoubomira
2005

Abstract

We deal in this Note with linear parabolic (in sense of Petrovskij) systems of order 2b with discontinuous principal coefficients belonging to VMO ∩ L ∞. By means of a priori estimates in Sobolev-Morrey spaces we give a precise characterization of the Morrey, BMO and Hölder regularity of the solutions and their derivatives up to order 2b - 1.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11591/190220
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