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The Wave Equation with Memory

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Tauberian Theory of Wave Fronts in Linear Hereditary Elasticity

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Abstract

In this chapter, we study wave front asymptotics of solutions of wave equations with memory. Sections 3.1, 3.2, 3.3, 3.4, 3.5, 3.6, 3.7, 3.8, and 3.9 are devoted to the one-dimensional case. In Sects. 3.10 and 3.11, we deal with the case of two and three spatial variables, respectively.

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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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Lokshin, A.A. (2020). The Wave Equation with Memory. In: Tauberian Theory of Wave Fronts in Linear Hereditary Elasticity. Springer, Singapore. https://doi.org/10.1007/978-981-15-8578-4_3

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