Skip to main content
SpringerLink
Log in

Principal eigenvalues and equilibrium states corresponding to weakly coupled parabolic systems of PDE

  • Published:
Journal d’Analyse Mathématique Aims and scope

An Erratum to this article was published on 01 December 1993

Abstract

This paper extends the theory from [K2] to some weakly coupled parabolic systems of PDE which generate Markov processes with switching at random times between a finite number of diffusion processes.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  • [DV] M. D. Donsker and S. R. S. Varadhan,On a variational formula for the principal eigenvalue for operators with maximum principle, Proc. Natl. Acad. Sci. U.S.A.,72 (1975), 780–783.

    Article  MATH  MathSciNet  Google Scholar 

  • [EF1] A. Eizenberg and M. Freidlin,On the Dirichlet problem for a class of second order PDE systems with small parameter, Stochastics and Stoch. Reports33 (1990), 111–148.

    MathSciNet  Google Scholar 

  • [EF2] A. Eizenberg and M. Freidlin,Large deviations for Markov processes corresponding to PDE systems, Ann. of Probability, to appear.

  • [F] M. Freidlin,Functional Integration and Partial Differential Equations, Princeton Univ. Press, Princeton, 1985.

    MATH  Google Scholar 

  • [HM] G. Habetler and M. Martino,Existence theorems and the spectral theory for the multigroup diffusion model, Proc. Symp. in Appl. Math. XI, Nuclear Reactor Theory, Amer. Math. Soc., Providence, 1961, pp. 127–139.

  • [K1] Y. Kifer,Stochastic stability of the topological pressure, J. Analyse Math.,38 (1980), 255–286.

    MATH  MathSciNet  Google Scholar 

  • [K2] Y. Kifer,Principal eigenvalues, topological pressure, and stochastic stability of equilibrium states, Israel J. Math.,70 (1990), 1–47.

    MATH  MathSciNet  Google Scholar 

  • [K3] Y. Kifer,Large deviations in dynamical systems and stochastic processes, Trans. Amer. Math. Soc.321 (1990), 505–524.

    Article  MATH  MathSciNet  Google Scholar 

  • [K4] Y. Kifer,Large deviations for random expanding maps, Lecture Notes in Math.1486, Springer-Verlag, Berlin, 1991, pp. 178–186.

    Google Scholar 

  • [Kr] M. A. Krasnoselskii,Positive Solutions of Operator Equations, Noordhoff, Groningen, 1964.

    Google Scholar 

  • [PW] M. Protter and H. Weinberger,Maximum Principles in Differential Equations, Springer-Verlag, New York, 1984.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Mathematics, The Hebrew University of Jerusalem, Jerusalem, Israel

    Yuri Kifer

Authors
  1. Yuri Kifer
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Dedicated to Professor Shmuel Agmon

Partially supported by the US-Israel Binational Science Foundation.

An erratum to this article is available at http://dx.doi.org/10.1007/BF02788851.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kifer, Y. Principal eigenvalues and equilibrium states corresponding to weakly coupled parabolic systems of PDE. J. Anal. Math. 59, 89–102 (1992). https://doi.org/10.1007/BF02790219

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02790219

Keywords

Search

Navigation