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- Publisher
- Springer Journals
- Copyright
- Copyright © Springer-Verlag New York Inc. 2000
- Subject
- Mathematics; Calculus of Variations and Optimal Control; Optimization; Systems Theory, Control; Theoretical, Mathematical and Computational Physics; Mathematical Methods in Physics; Numerical and Computational Physics, Simulation
- ISSN
- 0095-4616
- eISSN
- 1432-0606
- DOI
- 10.1007/s002450010001
- Publisher site
- See Article on Publisher Site
Abstract
. We give a characterization of the existence of bounded solutions for Hamilton—Jacobi equations in ergodic control problems with state-constraint. This result is applied to the reexamination of the counterexample given in [5] concerning the existence of solutions for ergodic control problems in infinite-dimensional Hilbert spaces and also establishing results on effective Hamiltonians in periodic homogenization of Hamilton—Jacobi equations.
Journal
Applied Mathematics & Optimization – Springer Journals
Published: Jan 1, 2000
Keywords: Key words. Hamilton—Jacobi equations, Ergodic control problems, Viscosity solutions, Homogenization, Effective Hamiltonians. AMS Classification. 35F20, 49J15, 49L20, 49L25.