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
Palagachev, Dian;Softova, Lyoubomira
2005-01-01
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.File in questo prodotto:
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