Skip to main content
Log in

On a class of retarded partial differential equations

  • 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. Ardito, A., Ricciardi, P.: Existence and regularity for linear delay partial differential equations. Nonlinear Anal.4, 411–414 (1980)

    Google Scholar 

  2. Butzer, P.L., Berens, H.: Semigroups of Operators and Approximation. Berlin-Heidelberg-New York: Springer 1967

    Google Scholar 

  3. Da Prato, G., Grisvard, P.: Equations d'évolution abstraites non linéaires de type parabolique. Ann. Mat. Pura Appl.120, 329–396 (1979)

    Google Scholar 

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

    Google Scholar 

  5. Di Blasio, G., Kunisch, K., Sinestrari, E.:L 2-regularity for parabolic partial integrodifferential equations with delay in the highest order derivatives. J. Math. Anal. Appl. (to appear)

  6. Hille, E., Phillips, R.: Functional Analysis and semigroups. Providence: American Mathematical Society 1957

    Google Scholar 

  7. Kunisch, K., Schappacher, W.: Necessary conditions for partial differential equations with delay to generateC o-semigroups. J. Differential Equations50, 49–79 (1983)

    Google Scholar 

  8. Lions, J.L.: Théorèmes de trace et d'interpolation (I). Ann. Scuola Norm. Sup. Pisa Cl. Sci.12, 389–403 (1959)

    Google Scholar 

  9. Lunardi, A.: Interpolation spaces between domains of elliptic operators and spaces of continuous functions with applications to nonlinear parabolic equations. Math. Nachr. (to appear)

  10. Sinestrari, E.: Continuous interpolation spaces and spatial regularity in nonlinear Volterra integrodifferential equations. J. Integral Equations5, 287–308 (1983)

    Google Scholar 

  11. Sinestrari, E.: On the abstract Cauchy problem of parabolic type in spaces of continuous functions. J. Math. Anal. Appl. (to appear)

  12. Sinestrari, E.: A non compact differentiable semigroup arising from an abstract delay equation (preprint)

  13. Stewart, B.: Generation of analytic semigroups by strongly elliptic operators. Trans. Amer. Math. Soc.199, 141–162 (1974)

    Google Scholar 

  14. Travis, C., Webb, G.: Partial differential equations with deviating arguments in the time variable. J. Math. Anal. Appl.56, 397–409 (1976)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Work done under the auspices of G.N.A.F.A. of C.N.R.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sinestrari, E. On a class of retarded partial differential equations. Math Z 186, 223–246 (1984). https://doi.org/10.1007/BF01161806

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01161806

Keywords

Navigation