Abstract
In this paper, we consider minimization formulas which arise typically in optimal control and weak KAM theory for Hamilton Jacobi equations. Given a minimization formula, we define a uniqueness set for the formula, which replaces the original region of minimization without changing its values. Our goal is to provide a necessary and sufficient condition that a given set be a uniqueness set. We also provide a characterization of the existence of a minimal uniqueness set with respect to set inclusion.
| Original language | English |
|---|---|
| Pages (from-to) | 579-588 |
| Number of pages | 10 |
| Journal | Differential and Integral Equations |
| Volume | 25 |
| Issue number | 5-6 |
| Publication status | Published - 2012 May |
ASJC Scopus subject areas
- Analysis
- Applied Mathematics
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Cite this
Fujita, Y., & Ishii, H. (2012). Uniqueness sets for minimization formulas. Differential and Integral Equations, 25(5-6), 579-588.