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Global Existence and Uniqueness for Abstract Evolutionary Differential Equations

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Part of the book series: Operator Theory: Advances and Applications ((APDE,volume 241))

Abstract

In this chapter, we discuss the global existence and uniqueness for some abstract models and ODEs. The chapter consists of three sections. In Section 5.1, we apply Corollary 1.4.4 to prove the global-in-time existence of solutions to an abstract evolutionary equation written below.

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Qin, Y. (2017). Global Existence and Uniqueness for Abstract Evolutionary Differential Equations. In: Analytic Inequalities and Their Applications in PDEs. Operator Theory: Advances and Applications(), vol 241. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-00831-8_5

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