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A generation theorem for semigroups of growth order $$\alpha$$. (English) Zbl 0282.47011

##### MSC:
 47D03 Groups and semigroups of linear operators
Full Text:
##### References:
 [1] G. DA PRATO, Semigruppi di crescenza n, Ann. Scuola Norm. Sup. Pisa, 20(1966), 753-782. [2] G. DA PRATO, Problemes au bord de type mixte pour des equations paraboliques o hyperboliques, · Zbl 0165.48201 [3] T. KATO, Perturbation Theory for Linear Operators, Springer-Verlag, Berlin and Ne York, 1966. · Zbl 0148.12601 [4] S. G. KREIN, Linear Differential Equations in Banach Space, Nauka, Moscow, 196 (Russian); English translation, Transl. Math. Monographs, Amer. Math. Soc, 1972. [5] I. MIYADERA, On the generation of semigroups of linear operators, Thoku Math. J., 2 (1972), 251-261. · Zbl 0252.47035 [6] I. MIYADERA, S. OHARU AND N. OKAZAWA, Generation theorems of semigroups of linea operators, Publ. Res. Inst. Math. Sci. Kyoto Univ., 8 (1972/73), 509-555. · Zbl 0262.47030 [7] N. OKAZAWA, Operator semigroups of class (Dn), Math. Japonicae, 18(1973), · Zbl 0281.47025 [8] P. E. SOBOLEVSK, On semigroups of growth a, Soviet Math. Dokl., 12(1971), 202-205 [9] P. P. ZABREIKO AND A. V. ZAFIEVSK, On a certain class of semigroups, Soviet Math Dokl., 10(1969), 1523-1526. [10] A. V. ZAFIEVSK, On semigroups with singularities summable with a power-weight a zero, Soviet Math. Dokl., 11(1970), 1408-1411. · Zbl 0226.47018
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