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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

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Singular relaxation moduli and smoothing in three-dimensional viscoelasticity
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by Wolfgang Desch and Ronald Grimmer PDF
Trans. Amer. Math. Soc. 314 (1989), 381-404 Request permission

Abstract:

We develop a semigroup setting for linear viscoelasticity in three–dimensional space with tensor-valued relaxation modulus and give a criterion on the relaxation kernel for differentiability and analyticity of the solutions. The method is also extended to a simple problem in thermoviscoelasticity.
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Additional Information
  • © Copyright 1989 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 314 (1989), 381-404
  • MSC: Primary 73F15; Secondary 45K05, 45N05, 47D05, 47G05
  • DOI: https://doi.org/10.1090/S0002-9947-1989-0939803-3
  • MathSciNet review: 939803