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

Li, Xu
2013-04
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On fully nonlinear elliptic and parabolic equations in domains with VMO coefficients

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2013-04

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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.

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University Of Minnesota Ph.D. dissertation. April 2013. Major: Mathematics. Advisor: Nicolai Vladimi Krylov. 1 computer file (PDF); iv, 47 pages.

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Li, Xu. (2013). On fully nonlinear elliptic and parabolic equations in domains with VMO coefficients. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/153731.

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