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An ergodic control problem on whole Euclidean space

  • Stochastic Control And Estimation
  • Conference paper
  • First Online:
Stochastic Systems and Optimization

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 136))

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References

  1. S. Albeverio, R. Hoeph-Krohn & L. Streit, Energy forms, Hamiltonians and distorted Brownian paths, J. Math. Phys, 18 (1977) 907–917.

    Google Scholar 

  2. A. Bensoussan & J. Frehse, On Bellman equations of ergodic type with quadratic growth Hamiltonian, Contributions to Modern Calculus of Variations, Pitman Res. Notes in Math. Series, ed. L. Cesari, Longman, vol. 148, (1987) 13–26.

    Google Scholar 

  3. A. Bensoussan & J.L. Lions, Impulsive control and quasi-variational inequalities, Gauthier-Villars, Paris (1984).

    Google Scholar 

  4. A. Bensoussan & H. Nagai, An ergodic control problem arising from the principal eigenfunction of an elliptic operator, to appear.

    Google Scholar 

  5. F. Gimbert, Problems de Neuman quasi-linéaires, J. Func. Anal., 62 (1985) 65–72.

    Google Scholar 

  6. P.L. Lions, Quelques remarques sur les problèmes elliptiques quasilinéares du 2e ordre, J. Anal. Math., 45 (1985) 234–254.

    Google Scholar 

  7. M. Reed & B. Simon, Methods of modern mathematical physics I, II, III, IV, Academic press, New York (1978).

    Google Scholar 

  8. B. Simon, Brownian motion, Lp properties of Schrödinger operators and the localization of binding, J. Func. Anal., 35 (1980) 215–229.

    Google Scholar 

  9. B. Simon, Schrodinger semi-groups, Bull. A.M.S., 7 (1982) 447–526.

    Google Scholar 

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Author information

Authors and Affiliations

  1. University of Paris Dauphine and INRIA, France

    A. Bensoussan

  2. College of General Education, Nagaya University, Japan

    H. Nagai

Authors
  1. A. Bensoussan
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  2. H. Nagai
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Editor information

Jerzy Zabczyk

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© 1989 Springer-Verlag

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Bensoussan, A., Nagai, H. (1989). An ergodic control problem on whole Euclidean space. In: Zabczyk, J. (eds) Stochastic Systems and Optimization. Lecture Notes in Control and Information Sciences, vol 136. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0002687

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  • DOI: https://doi.org/10.1007/BFb0002687

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-51619-4

  • Online ISBN: 978-3-540-46719-9

  • eBook Packages: Springer Book Archive

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