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- Publisher
- Springer Basel
- Copyright
- © Springer Basel AG 2011
- ISBN
- 978-3-0348-0020-4
- Pages
- 95 –107
- DOI
- 10.1007/978-3-0348-0021-1_6
- Publisher site
- See Chapter on Publisher Site
Abstract
[Some recent results on stochastic ergodic control problems in infinite- dimensional state spaces are reviewed, a special attention being paid to the ergodic control of stochastic semilinear reaction-diffusion equations. Earlier achievements obtained in this field (as well as some of those obtained for the discounted cost optimization problem) are summarized. Some of the recently obtained results that will appear in the forthcoming paper [15] are described in more detail.]
Published: Feb 4, 2011
Keywords: Stochastic ergodic control; Hamilton-Jacobi equation; stochastic semilinear equation