Approximation of Integrated Semigroups by "Integrated" Discrete Parameter Semigroups

Semigroup Forum

Volumn 55, Issue 1, 1997, Pages 57-67

  Tanaka, Naoki ^a  

^a OKAYAMA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0009838269     PISSN: 00371912     EISSN: None     Source Type: Journal    
DOI: 10.1007/PL00005911     Document Type: Article

References (10)

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2. Arendt, W., Vector valued Laplace transforms and Cauchy problems, Israel J. Math. 59 (1987), 327-352.
3. Chernoff, P., Note on product formulas for operator semi-groups, J. Func. Anal. 2 (1968), 238-242.
4. Da Prato, G. and E. Sinestrari, Differential operators with non dense domain, Ann. Scuola Norm. Sup. Pisa XIV (1987), 285-344.
5. Görlich, E. and D. Pontzen, An approximation theorem for semigroups of growth order a and an extension of the Trotter-Lie formula, J. Func. Anal. 50 (1983), 414-425.
6. Kellermann, H. and M. Hieber, Integrated semigroups, J. Func. Anal. 84 (1989), 160-180.
7. Kurtz, T. G., Extensions of Trotter's operator semigroup approximation theorems, J. Func. Anal. 3 (1969), 354-375.
8. Miyadera, I. and Y. Kobayashi, Convergence and approximation of nonlinear semigroups, Proc. Japan-France Seminar on Functional Analysis and Numerical Analysis, 1976.
9. Pazy, A., "Semigroups of Linear Operators and Applications to Partial Differential Equations," Springer-Verlag, Berlin/New York, 1983.
10. Trotter, H. F., Approximation of semi-groups of operators, Pacific J. Math. 8 (1958), 887-919.