科研之友
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摘要
Motivated by the in finite horizon discounted problem, we study the convergence of solutions of the Hamilton Jacobi equation when the discount vanishes. If the Aubry set consists in a finite number of hyperbolic critical points, we give an explicit expression for the limit. Additionaly, we give a new characterization of Mane's critical value as for wich the set of viscosity solutions is equibounded.
- 出版日期2011-3
