Li, Xu2013-07-242013-07-242013-04https://hdl.handle.net/11299/153731University Of Minnesota Ph.D. dissertation. April 2013. Major: Mathematics. Advisor: Nicolai Vladimi Krylov. 1 computer file (PDF); iv, 47 pages.We prove the solvability in Sobolev spaces Wp^(1,2), 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 Wp^2, p > d, of the corresponding elliptic boundary-value problem is also obtained.en-USThesis or Dissertation