Skip to main content
Log in

Matrices of operators and regularized semigroups

  • Published:
Mathematische Zeitschrift 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. Da Prato, G.: Semigruppi regolarizzabili. Ric. Mat.15, 223–248 (1966)

    MATH  Google Scholar 

  2. Davies, E.B.: One-Parameter Semigroups. London: Academic Press 1980

    MATH  Google Scholar 

  3. Davies E.B., Pang, M.M.: The Cauchy problem and a generalization of the Hille-Yosida theorem. Proc. Lond. Math. Soc.55, 181–208 (1987)

    Article  MATH  MathSciNet  Google Scholar 

  4. deLaubenfels, R.:C-semigroups and the Cauchy problem. J. Funct. Anal. (accepted for publication)

  5. deLaubenfels, R.: Entire solutions of the abstract Cauchy problem. Semigroup Forum42, 83–105 (1991)

    MATH  MathSciNet  Google Scholar 

  6. deLaubenfels, R.:C-semigroups and strongly continuous semigroups. Isr. J. Math. (to appear)

  7. Engel, K.J.: Polynomials operator matrices as semigroup generators: the general case. Integral Equations Oper. Theory13, 175–192 (1990)

    Article  MATH  MathSciNet  Google Scholar 

  8. Engel, K.J., Nagel, R.: Cauchy problems for polynomials operator matrices on abstract energy spaces. Forum Math.2, 89–102 (1990)

    Article  MATH  MathSciNet  Google Scholar 

  9. Gelfand, I.M., Shilov, G.E.: Generalized Functions, vol. 3. New York: Academic Press 1968

    Google Scholar 

  10. Goldstein, J.A.: Semigroups of Operators and Applications. New York: Oxford 1985

    MATH  Google Scholar 

  11. Hieber, M.: Integrated semigroups and differential operators onL p Dissertation, Tübingen (1989)

  12. Hieber, M.: Integrated semigroups and the Cauchy problem for systems inL p spaces. J. Math Anal. Appl. (to appear)

  13. Hieber, M., Holderrieth, A., Neubrander, F.: Regularized semigroups and systems of linear partial differential equations. Ann. Scuola Norm. di Pisa (to appear)

  14. Hille, E.: Une généralisation du problème de Cauchy. Ann. Inst. Fourier4, 31–48 (1952)

    MATH  MathSciNet  Google Scholar 

  15. Kato, T. Perturbation Theory for Linear Operators. Berlin Heidelberg New York: Springer 1966

    MATH  Google Scholar 

  16. Nagel, R. (ed.): One-Parameter Semigroups of Positive Operators (Lect. Notes Math., vol. 1184) Berlin Heidelberg New York: Springer 1986

    MATH  Google Scholar 

  17. Nagel, R.: Towards a “matrix theory” for unbounded operator matrices. Math. Z.201 57–68 (1989)

    Article  MATH  MathSciNet  Google Scholar 

  18. Pazy, A.: Semigroups of Linear Operators and Applications to Partial Differential Equations. Berlin Heidelberg New York: Springer 1983

    MATH  Google Scholar 

  19. Stein, E.M.: Singular Integrals and Differentiability Properties of Functions. Princeton, NJ: Princeton University Press 1970

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

deLaubenfels, R. Matrices of operators and regularized semigroups. Math Z 212, 619–629 (1993). https://doi.org/10.1007/BF02571680

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02571680

Keywords

Navigation