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Strongly continuous semigroups, weak solutions, and the variation of constants formula. (English) Zbl 0353.47017


MSC:

47D03 Groups and semigroups of linear operators
47E05 General theory of ordinary differential operators
34G99 Differential equations in abstract spaces
35D05 Existence of generalized solutions of PDE (MSC2000)
35K99 Parabolic equations and parabolic systems
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