Parameter-elliptic and parabolic pseudodifferential boundary problems in global Lp Sobolev spaces.
Gerd Grubb (1995)
Mathematische Zeitschrift
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Displaying similar documents to “Refinement of an Lp-Estimate of Solonnikov for a Parabolic Equation of the Second Order with Conormal Boundary Condition.”
Parameter-elliptic and parabolic pseudodifferential boundary problems in global Lp Sobolev spaces.
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Mathematische Zeitschrift
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Characterization of the interior regularity for parabolic systems with discontinuous coefficients
Dian K. Palagachev, Lubomira G. Softova (2005)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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We deal in this Note with linear parabolic (in sense of Petrovskij) systems of order with discontinuous principal coefficients belonging to . 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 .