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101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aErgodicity, stabilization, and rsingular perturbations for Bellman-Isaacs equations /$fOlivier Alvarez, Martino Bardi
210  1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2010.
210  4$dİ2010
215   $a1 online resource (77 p.)
225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vNumber 960
300   $a"Volume 204, number 960 (fourth of 5 numbers)."
311   $a0-8218-4715-5 
320   $aIncludes bibliographical references.
327   $a""Contents""; ""Abstract""; ""Chapter 1. Introduction and statement of the problem""; ""1.1. Introduction""; ""1.2. Stochastic differential games and the singular perturbation problem""; ""1.3. The Bellman-Isaacs equations""; ""Chapter 2. Abstract ergodicity, stabilization, and convergence""; ""2.1. Ergodicity and the effective Hamiltonian""; ""2.2. Stabilization and the effective terminal cost""; ""2.3. The general convergence result""; ""Chapter 3. Uncontrolled fast variables and averaging""; ""3.1. Ergodicity""; ""3.2. Stabilization""; ""3.3. Uniform convergence""
327   $a""3.4. An explicit formula for the limit control problem""""Chapter 4. Uniformly nondegenerate fast diffusion""; ""4.1. Ergodicity""; ""4.2. Stabilization""; ""4.3. Uniform convergence""; ""Chapter 5. Hypoelliptic diffusion of the fast variables""; ""5.1. Ergodicity and stabilization""; ""5.2. Uniform convergence""; ""Chapter 6. Controllable fast variables""; ""6.1. Bounded-time controllability and ergodicity""; ""6.2. Stabilization and a formula for the effective initial data""; ""6.3. An explicit formula for the effective Hamiltonian and the limit differential game""
327   $a""6.4. Uniform convergence""""6.5. The reduction order formula for the effective control problem""; ""Chapter 7. Nonresonant fast variables""; ""7.1. Ergodicity""; ""7.2. Stabilization""; ""7.3. Uniform convergence""; ""Chapter 8. A counterexample to uniform convergence""; ""Chapter 9. Applications to homogenization""; ""9.1. Periodic homogenization of 1st order H-J equations""; ""9.2. Periodic homogenization of 2nd order equations""; ""Bibliography""
410  0$aMemoirs of the American Mathematical Society ;$vNumber 960.
606   $aSingular perturbations (Mathematics)
606   $aDifferential equations, Partial
606   $aDifferential games
608   $aElectronic books.
615  0$aSingular perturbations (Mathematics)
615  0$aDifferential equations, Partial.
615  0$aDifferential games.
676   $a515/.353
700   $aAlvarez$b Olivier$f1969-$0950521
702   $aBardi$b M$g(Martino),
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910480230603321
996   $aErgodicity, stabilization, and rsingular perturbations for Bellman-Isaacs equations$92149159
997   $aUNINA