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On the generation and smoothness of semi-groups of linear operators. (English) Zbl 0239.47032

MSC:
47D03 Groups and semigroups of linear operators
34G99 Differential equations in abstract spaces
35E15 Initial value problems for PDEs and systems of PDEs with constant coefficients
47A50 Equations and inequalities involving linear operators, with vector unknowns
35K45 Initial value problems for second-order parabolic systems
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