Electronic Journal of Differential Equations,
Vol. 2001(2001), No. 51, pp. 1-25.

Title: Parabolic equations with VMO coefficients in Morrey spaces
        
Author: Lubomira G. Softova (Bulgarian Academy of Sciences, Sofia, Bulgaria)

Abstract:  
 Global regularity in Morrey spaces is derived for the regular 
 oblique derivative for linear uniformly parabolic operators. 
 The principal coefficients of the operator are supposed to be 
 discontinuous, belonging to Sarason's class of functions with 
 vanishing mean oscillation (VMO).
  
Submitted March 10, 2001. Published July 16, 2001.
Math Subject Classifications: 35K20, 35B65, 35R05
Key Words: Uniformly parabolic operator; regular oblique derivative;
    VMO; Morrey spaces; singular integrals and commutators; parabolic
    Calderon-Zygmund kernel