[Author]
 A. I. Nazarov

[Title]
 Hoelder estimates of solutions to degenerate nondivergence elliptic
 and parabolic equations

[AMS Subj-class]
 35B45 A priori estimates
 35J70 Elliptic partial differential equations of degenerate type
 35K65 Parabolic partial differential equations of degenerate type

[Abstract]
 We deal with a class of nondivergence type elliptic and parabolic equations 
 degenerating at the coordinate hyperplanes. Asuming that the degeneration 
 is coordinate-wise and regularly varying we prove Hoelder continuity of 
 solutions. Also the approximative solutions are considered.

[Keywords]
 nondivergence equations; Hoelder estimates; degeneration;
 regularly varying functions
 
[Comments]
 Russian, 18 pp.

[Contact e-mail]
 an@AN4751.spb.edu