References
Da Prato, G.: Semigruppi regolarizzabili. Ric. Mat.15, 223–248 (1966)
Davies, E.B.: One-Parameter Semigroups. London: Academic Press 1980
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)
deLaubenfels, R.:C-semigroups and the Cauchy problem. J. Funct. Anal. (accepted for publication)
deLaubenfels, R.: Entire solutions of the abstract Cauchy problem. Semigroup Forum42, 83–105 (1991)
deLaubenfels, R.:C-semigroups and strongly continuous semigroups. Isr. J. Math. (to appear)
Engel, K.J.: Polynomials operator matrices as semigroup generators: the general case. Integral Equations Oper. Theory13, 175–192 (1990)
Engel, K.J., Nagel, R.: Cauchy problems for polynomials operator matrices on abstract energy spaces. Forum Math.2, 89–102 (1990)
Gelfand, I.M., Shilov, G.E.: Generalized Functions, vol. 3. New York: Academic Press 1968
Goldstein, J.A.: Semigroups of Operators and Applications. New York: Oxford 1985
Hieber, M.: Integrated semigroups and differential operators onL p Dissertation, Tübingen (1989)
Hieber, M.: Integrated semigroups and the Cauchy problem for systems inL p spaces. J. Math Anal. Appl. (to appear)
Hieber, M., Holderrieth, A., Neubrander, F.: Regularized semigroups and systems of linear partial differential equations. Ann. Scuola Norm. di Pisa (to appear)
Hille, E.: Une généralisation du problème de Cauchy. Ann. Inst. Fourier4, 31–48 (1952)
Kato, T. Perturbation Theory for Linear Operators. Berlin Heidelberg New York: Springer 1966
Nagel, R. (ed.): One-Parameter Semigroups of Positive Operators (Lect. Notes Math., vol. 1184) Berlin Heidelberg New York: Springer 1986
Nagel, R.: Towards a “matrix theory” for unbounded operator matrices. Math. Z.201 57–68 (1989)
Pazy, A.: Semigroups of Linear Operators and Applications to Partial Differential Equations. Berlin Heidelberg New York: Springer 1983
Stein, E.M.: Singular Integrals and Differentiability Properties of Functions. Princeton, NJ: Princeton University Press 1970
Author information
Authors and Affiliations
Rights 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
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF02571680