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arXiv:1008.3374 [math.AP]AbstractReferencesReviewsResources

On fully nonlinear elliptic and parabolic equations in domains with VMO coefficients

Hongjie Dong, N. V. Krylov, Xu Li

Published 2010-08-19Version 1

We prove the solvability in Sobolev spaces $W^{1,2}_p$, $p>d+1$, of the terminal-boundary value problem for a class of fully nonlinear parabolic equations, including parabolic Bellman's equations, in bounded cylindrical domains with VMO ``coefficients''. The solvability in $W^{2}_p$, $p>d$, of the corresponding elliptic boundary-value problem is also obtained.

Comments: 35 pages, submitted
Categories: math.AP
Subjects: 35K61, 35B65, 35R05
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