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Abstract wave equations with generalized Wentzell boundary conditions - MaRDI portal

Abstract wave equations with generalized Wentzell boundary conditions (Q703825)

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scientific article; zbMATH DE number 2126467
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Abstract wave equations with generalized Wentzell boundary conditions
scientific article; zbMATH DE number 2126467

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    Abstract wave equations with generalized Wentzell boundary conditions (English)
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    11 January 2005
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    Wentzell boundary conditions for differential operators have been introduced in the context of diffusion processes. The aim of this paper is to present a general framework allowing a systematic study of the problem if second order abstract Cauchy problems for operators with Wentzell type boundary conditions are well-posed. As motivation one shows the connection of Wentzell boundary conditions to control theory. One focuses on second order differential operators on \(C[0,1]\) with generalized Wentzell boundary conditions.
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    abstract Cauchy problems
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