Classical solutions for partial functional differential equations with nonautonomous past

Archiv der Mathematik

Volumn 79, Issue 6, 2002, Pages 479-488

  Fragnelli, Genni ^a  

^a UNIVERSITY OF ROME TOR VERGATA   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0037001188     PISSN: 0003889X     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02638385     Document Type: Article

References (11)

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3. C. CHICONE and Y. LATUSHKIN, Evolution Semigroups in Dynamical Systems and Differential Equations. Amer. Math. Soc. (1999).
4. K. J. ENGEL and R. NAGEL, One-Parameter Semigroups for Linear Evolution Equations. Berlin-Heidelberg-New York 2000.
5. G. NICKEL, On Evolution Semigroups and Wellposedness of Nonautonomous Cauchy Problems. Ph.D. thesis, Tübingen 1996.
6. G. NICKEL, Evolution semigroups for nonautonomous Cauchy problems. Abstract Appl. Anal. 2, 73-95 (1997).
7. A. PAZY, Semigroups of Linear Operators and Applications to Partial Differential Equations. Berlin-Heidelberg-New York 1983.
8. R. SCHNAUBELT, A sufficient condition for exponentially dichotomy of parabolic evolution equations. To appear in: Proc. of 6th International Conference on Evolution Equations and Semigroups.
9. R. SCHNAUBELT, Exponential bounds and hyperbolicity of evolution families. Ph.D. thesis, Tübingen 1996.
10. R. SCHNAUBELT, Exponential dichotomy of non-autonomous evolution equations. Habilitations-schrift, Tübingen 1999.
11. R. SCHNAUBELT, Sufficient conditions for exponential stability and dichotomy of evolution equations. Forum Math. 11, 543-566 (1999).