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On the interior regularity for degenerate elliptic equations.
Zhou, Wei (2012)
 

Title 
On the interior regularity for degenerate elliptic equations.

Author(s)

Issue Date
2012-08

Type
Thesis or Dissertation

Abstract
We discuss the concept and motivations of quasiderivatives and give an example constructed by random time change, Girsanov's theorem and Levy's theorem. Then we use this probabilistic technique to investigate the regularity of the probabilistic solution of the Dirichlet problem for degenerate elliptic equations, from linear cases to fully nonlinear cases. In each Dirichlet problem we consider, the probabilistic solution is the unique solution in our setting.

Appears in Collection(s)
Dissertations [3759]

Description
University of Minnesota Ph.D. dissertation. August 2012. Major: Mathematics. Advisor: Nicolai V. Krylov. 1 computer file (PDF); ii, 83 pages.

Suggested Citation
Zhou, Wei. (2012). On the interior regularity for degenerate elliptic equations.. Retrieved from the University of Minnesota Digital Conservancy, http://purl.umn.edu/139886.


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