Geodesic
Characterization of the interior regularity for parabolic systems with discontinuous coefficients
Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 16 (2005) no. 2, pp. 125-132

Voir la notice de l'article provenant de la source Biblioteca Digitale Italiana di Matematica

We deal in this Note with linear parabolic (in sense of Petrovskij) systems of order $2b$ with discontinuous principal coefficients belonging to $VMO \bigcap L^{\infty}$. 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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     author = {Palagachev, Dian K. and Softova, Lubomira G.},
     title = {Characterization of the interior regularity for parabolic systems with discontinuous coefficients},
     journal = {Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni},
     pages = {125--132},
     publisher = {mathdoc},
     volume = {Ser. 9, 16},
     number = {2},
     year = {2005},
     zbl = {1225.35116},
     mrnumber = {MR2225506},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/RLIN_2005_9_16_2_a4/}
}
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Palagachev, Dian K.; Softova, Lubomira G. Characterization of the interior regularity for parabolic systems with discontinuous coefficients. Atti della Accademia nazionale dei Lincei. Rendiconti Lincei. Matematica e applicazioni, Série 9, Tome 16 (2005) no. 2, pp. 125-132. http://geodesic.mathdoc.fr/item/RLIN_2005_9_16_2_a4/