Extrapolation methods to solve non-autonomous retarded partial differential equations

 Access to full text

 Full (PDF)

1. [Am] H. Amann, Linear and Quasilinear Parabolic Problems, Birkhäuser, Basel, 1995. 
2. [Bu-Be] P. Butzer and H. Berens, Semigroups of Operators and Approximation, Springer, Berlin, 1967. 
3. [Cl] P. Clément et al., One-Parameter Semigroups, CWI Monographs 5, Amsterdam, 1987. 
4. [Cl1] P. Clément, O. Diekmann, M. Gyllenberg, H. J. A. M. Heijmans, and H. R. Thieme, Perturbation theory for dual semigroups. I. The sun-reflexive case, Math. Ann. 277 (1987), 709-725. Zbl0634.47039
5. [Cl2] P. Clément, O. Diekmann, M. Gyllenberg, H. J. A. M. Heijmans and H. R. Thieme, Perturbation theory for dual semigroups. II. Time-dependent perturbations in the sun-reflexive case, Proc. Roy. Soc. Edinburgh Sect. A 109 (1988), 145-172. Zbl0661.47015
6. [DaP-G] G. Da Prato and P. Grisvard, On extrapolation spaces, Rend. Accad. Naz. Lincei 72 (1982), 330-332. Zbl0527.46055
7. [Da-Sch-Zh] W. Desch, W. Schappacher, and K. P. Zhang, Semilinear evolution equations, Houston J. Math. 15 (1989), 527-552. Zbl0712.47052
8. [Di-vGi-Lu-Wa] O. Diekmann, S. A. van Gils, S. M. Verduyn Lunel and H.-O. Walther, Delay Equations, Functional-, Complex- and Nonlinear Analysis, Springer, 1995. 
9. [Go] J. A. Goldstein, Semigroups of Linear Operators and Applications, Oxford University Press, New York, 1985. 
10. [Ha] J. K. Hale, Theory of Functional Differential Equations, Springer, 1977. 
11. [Hi-Ph] E. Hille and R. S. Phillips, Functional Analysis and Semi-Groups, Amer. Math. Soc., Providence, 1957. 
12. [Li] J. L. Lions, Théorèmes de trace et d'interpolation, I, Ann. Scuola Norm. Sup. Pisa 13 (1959), 389-403. 
13. [Lu] A. Lunardi, Interpolation spaces between domains of elliptic operators and spaces of continuous functions with applications to nonlinear parabolic equations, Math. Nachr. 121 (1985), 295-318. Zbl0568.47035
14. [Lu1] A. Lunardi, Analytic Semigroups and Optimal Regularity in Parabolic Problems, Birkhäuser, Basel, 1995. 
15. [Na] R. Nagel (ed.), One-Parameter Semigroups of Positive Operators, Lecture Notes in Math. 1184, Springer, 1986. Zbl0585.47030
16. [Na1] R. Nagel (ed.), Sobolev spaces and semigroups, Semesterbericht Funktionalanalysis Tübingen (Sommersemester 1983), 1-19. 
17. [Na2] R. Nagel and E. Sinestrari, Inhomogeneous Volterra integrodifferential equations for Hille-Yosida operators, in: Lecture Notes in Pure and Appl. Math. 150, Marcel Dekker, 1994, 51-70. 
18. [vNe] J. van Neerven, The Adjoint of a Semigroup of Linear Operators, Lecture Notes in Math. 1529, Springer, 1992. Zbl0780.47026
19. [Ni-Rh] G. Nickel and A. Rhandi, On the essential spectral radius of semigroups generated by perturbations of Hille-Yosida operators, Differential Integral Equations, to appear. 
20. [Pa] A. Pazy, Semigroups of Linear Operators and Applications to Partial Differential Equations, Springer, 1983. Zbl0516.47023
21. [Ta] H. Tanabe, Equations of Evolution, Pitman, London, 1979. 
22. [Wa] T. Walther, Störungstheorie von Generatoren und Favard-Klassen, Dissertation, Tübingen, 1986.