Skip to main content
Log in

Perturbation theory for dual semigroups

I. The sun reflexive case

  • Published:
Mathematische Annalen Aims and scope Submit manuscript

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

Access this article

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

Instant access to the full article PDF.

References

  1. Amann, H.: Dual semigroups and second order linear elliptic boundary value problems. Ist. J. Math.45, 225–254 (1983)

    Google Scholar 

  2. Butzer, P.L., Berens, H.: Semigroups of operators and approximations. Berlin, Heidelberg, New York: Springer 1967

    Google Scholar 

  3. Davies, E.B.: One-parameter semigroups. London: Academic Press 1980

    Google Scholar 

  4. Desch, W., Schappacher, W.: On relatively bounded perturbations of linearC 0-semigroups. Ann. Sc. Norm. Super. Pisa Cl. Sci., IV. Ser.11, 327–341 (1984)

    Google Scholar 

  5. Desch, W., Schappacher, W.: Spectral properties of finite-dimensional perturbed linear semigroups. J. Differ. Equations59, 80–102 (1985)

    Google Scholar 

  6. Desch, W., Lasiecka, I., Schappacher, W.: Feedback boundary control problems for linear semigroups. Isr. J. Math.51, 177–207 (1985)

    Google Scholar 

  7. Diekmann, O.: Perturbed dual semigroups and delay equations. To appear in: Infinite dimensional dynamical systems. Proceedings, Lisbon, 1986

  8. Greiner, G.: Perturbing the boundary conditions of a generator. Houston J. Math. (to appear)

  9. Gyllenberg, M.: Stability of a nonlinear age-dependent population model containing a control variable. SIAM J. Appl. Math.43, 1418–1438 (1983)

    Google Scholar 

  10. Hale, J.K.: Theory of functional differential equations. Berlin, Heidelberg, New York: Springer 1977

    Google Scholar 

  11. Heijmans, H.J.A.M.: Dynamics of structured populations. Thesis, Univ. of Amsterdam, 1985

  12. Hille, E., Phillips, R.S.: Functional analysis and semigroups. Providence, R.I.: Am. Math. Soc. 1957

    Google Scholar 

  13. Kappel, F., Schappacher, W.: Non-linear functional differential equations and abstract integral equations. Proc. Roy. Soc. Edinb.84A, 71–91 (1979)

    Google Scholar 

  14. Metz, J.A.J., Diekmann, O. (eds.): Dynamics of physiologically structured populations. Lecture Notes in Biomathematics 68. Berlin, Heidelberg, New York: Springer 1986

    Google Scholar 

  15. Pazy, A.: Semigroups of linear operators and applications to partial differential equations. Berlin, Heidelberg, New York: Springer 1983

    Google Scholar 

  16. Rudin, W.: Real and complex analysis, 2nd ed. New York: McGraw-Hill 1974

    Google Scholar 

  17. Suhadolc, A., Vidav, I.: Linearized Boltzmann equations in spaces of measures. Math. Balk.3, 514–529 (1973)

    Google Scholar 

  18. Thieme, H.R.: Well-posedness of physiologically structured population models for Daphnia magna. Preprint, CWI Report AM-R8609, 1986

  19. Yosida, K.: Functional analysis. Berlin, Heidelberg, New York: Springer 1965

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Supported by ZWO (Netherlands Organization for the Advancement of Pure Research) and DFG (German Research Foundation)

Rights and permissions

Reprints and permissions

About this article

Cite this article

Clément, P., Diekmann, O., Gyllenberg, M. et al. Perturbation theory for dual semigroups. Math. Ann. 277, 709–725 (1987). https://doi.org/10.1007/BF01457866

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01457866

Keywords

Navigation