On the Aubry-Mather theory for partial differential equations and the stability of stochastically forced ordinary differential equations
This dissertation is organized into four chapters: an introduction followed by three chapters, each based on one of three separate papers. In Chapter 2 we consider gradient descent equations for energy functionals of the type [mathematical equation] where A is a second-order uniformly elliptic opera...
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| Format: | Others |
| Language: | English |
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2011
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| Online Access: | http://hdl.handle.net/2152/ETD-UT-2011-05-2798 |