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.
University Of Minnesota Ph.D. dissertation. April 2013. Major: Mathematics. Advisor: Nicolai
Vladimi Krylov. 1 computer file (PDF); iv, 47 pages.
On fully nonlinear elliptic and parabolic equations in domains with VMO coefficients.
Retrieved from the University of Minnesota Digital Conservancy,
Content distributed via the University of Minnesota's Digital Conservancy may be subject to additional license and use restrictions applied by the depositor.