Uniqueness and stability in linear viscoelasticity

C. E. Beevers

doi:10.1007/BF01591506

Uniqueness and stability in linear viscoelasticity

C. E. Beevers

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

In this paper we consider the mixed initial-boundary value problem for the linear dynamic theory of anisotropic viscoelasticity of creep type. If the classical solutions of this problem exist then conditions are specified to ensure that these solutions depend Hölder continuously on their initial data. The proof of this property employs, a Bernoulli transformation and follows a technique described by Murray and Protter [1]. Some uniqueness and further continuous dependence results are also established. © 1975 Birkhäuser-Verlag.

Original language	English
Pages (from-to)	177-186
Number of pages	10
Journal	Zeitschrift für angewandte Mathematik und Physik ZAMP
Volume	26
Issue number	2
DOIs	https://doi.org/10.1007/BF01591506
Publication status	Published - Mar 1975

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AB - In this paper we consider the mixed initial-boundary value problem for the linear dynamic theory of anisotropic viscoelasticity of creep type. If the classical solutions of this problem exist then conditions are specified to ensure that these solutions depend Hölder continuously on their initial data. The proof of this property employs, a Bernoulli transformation and follows a technique described by Murray and Protter [1]. Some uniqueness and further continuous dependence results are also established. © 1975 Birkhäuser-Verlag.

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Uniqueness and stability in linear viscoelasticity

Abstract

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