Analytic Semigroups on C[0,1] Generated by Some Classes of Second Order Differential Operators

Semigroup Forum

Volumn 56, Issue 3, 1998, Pages 362-372

  Favini, Angelo ^a   Romanelli, Silvia ^b  

^a UNIVERSITY OF BOLOGNA   (Italy)

^b UNIVERSITY OF BARI   (Italy)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0009977813     PISSN: 00371912     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00005952     Document Type: Article

References (11)

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2. o-semigroups generated by differential operators satisfying Ventcel's boundary conditions, Indag. Math. 89 (1986), 379-387.
3. Fichera, G., On a degenerate evolution problem, in: "Partial Differential Equations with Real Analysis", H. Begehr, A. Jeffrey (Eds.), Pitman Res. Notes 263, New York, 1992, 15-42.
4. Kato, T., "Perturbation Theory for Linear Operators", Springer Verlag, Berlin, Heidelberg, New York, 1966.
5. Lunardi, A., "Analytic Semigroups and Optimal Regularity in Parabolic Problems", Birkäuser Verlag, Boston, 1995.
6. Martini, R., A relation between semigroups and sequences of approximation operators, Indag. Math. 35 (1973), 456-465.
7. McBride, A. C., "Semigroups of Linear Operators : an Introduction", Pitman Research Notes in Math. Series 156, Longman Scientific and Technical, New York, 1987.
8. Nagel, R. (Ed), "One - Parameter Semigroups of Positive Operators", Lect. Notes Math. 1184, Springer Verlag, Berlin, Heidelberg, New York, Tokyo, 1986.
9. Pazy, A., "Semigroups of Linear Operators and Applications to Partial Differential Equations", Springer - Verlag, Berlin, Heidelberg, Tokyo, 1983.
10. Stewart, H. B., Generation of analytic semigroups by strongly elliptic operators, Trans. Amer. Math. Soc. 199 (1974) 141-162.
11. Ulmet, M. G., Admissible boundary conditions for differential operators, Dissertation, Tübingen, 1990.