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The Problem of Hyperbolicity in Linear Hereditary Elasticity

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Tauberian Theory of Wave Fronts in Linear Hereditary Elasticity

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Abstract

This chapter discusses the problem of hyperbolicity in linear hereditary elasticity. In Sect. 1.1, preliminary information about integro-differential dynamic operators of hereditary elasticity is presented. Sections 1.2, 1.3, and 1.4 are devoted to some well-known facts from geometry and harmonic analysis. Section 1.5 contains lemmas concerning the Fourier–Laplace transform of the function of memory.

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Authors and Affiliations

  1. Department of Mathematics and Informatics in Primary School, Moscow Pedagogical University, Moscow, Russia

    Alexander A. Lokshin

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  1. Alexander A. Lokshin
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© 2020 The Editor(s) (if applicable) and The Author(s), under exclusive licence to Springer Nature Singapore Pte Ltd.

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Lokshin, A.A. (2020). The Problem of Hyperbolicity in Linear Hereditary Elasticity. In: Tauberian Theory of Wave Fronts in Linear Hereditary Elasticity. Springer, Singapore. https://doi.org/10.1007/978-981-15-8578-4_1

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