On the interior regularity for degenerate elliptic equations.
Authors
Published Date
Publisher
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.
Description
University of Minnesota Ph.D. dissertation. August 2012. Major: Mathematics. Advisor: Nicolai V. Krylov. 1 computer file (PDF); ii, 83 pages.
Related to
item.page.replaces
License
Collections
Series/Report Number
Funding Information
item.page.isbn
DOI identifier
Previously Published Citation
Other identifiers
Suggested Citation
Zhou, Wei. (2012). On the interior regularity for degenerate elliptic equations.. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/139886.
Content distributed via the University Digital Conservancy may be subject to additional license and use restrictions applied by the depositor. By using these files, users agree to the Terms of Use. Materials in the UDC may contain content that is disturbing and/or harmful. For more information, please see our statement on harmful content in digital repositories.