References
Ardito, A., Ricciardi, P.: Existence and regularity for linear delay partial differential equations. Nonlinear Anal.4, 411–414 (1980)
Butzer, P.L., Berens, H.: Semigroups of Operators and Approximation. Berlin-Heidelberg-New York: Springer 1967
Da Prato, G., Grisvard, P.: Equations d'évolution abstraites non linéaires de type parabolique. Ann. Mat. Pura Appl.120, 329–396 (1979)
Davies, E.B.: One-parameter semigroups. London: Academic Press 1980
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)
Hille, E., Phillips, R.: Functional Analysis and semigroups. Providence: American Mathematical Society 1957
Kunisch, K., Schappacher, W.: Necessary conditions for partial differential equations with delay to generateC o-semigroups. J. Differential Equations50, 49–79 (1983)
Lions, J.L.: Théorèmes de trace et d'interpolation (I). Ann. Scuola Norm. Sup. Pisa Cl. Sci.12, 389–403 (1959)
Lunardi, A.: Interpolation spaces between domains of elliptic operators and spaces of continuous functions with applications to nonlinear parabolic equations. Math. Nachr. (to appear)
Sinestrari, E.: Continuous interpolation spaces and spatial regularity in nonlinear Volterra integrodifferential equations. J. Integral Equations5, 287–308 (1983)
Sinestrari, E.: On the abstract Cauchy problem of parabolic type in spaces of continuous functions. J. Math. Anal. Appl. (to appear)
Sinestrari, E.: A non compact differentiable semigroup arising from an abstract delay equation (preprint)
Stewart, B.: Generation of analytic semigroups by strongly elliptic operators. Trans. Amer. Math. Soc.199, 141–162 (1974)
Travis, C., Webb, G.: Partial differential equations with deviating arguments in the time variable. J. Math. Anal. Appl.56, 397–409 (1976)
Author information
Authors and Affiliations
Additional information
Work done under the auspices of G.N.A.F.A. of C.N.R.
Rights 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
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01161806