Singular relaxation moduli and smoothing in three-dimensional viscoelasticity

Authors:
Wolfgang Desch and Ronald Grimmer

Journal:
Trans. Amer. Math. Soc. **314** (1989), 381-404

MSC:
Primary 73F15; Secondary 45K05, 45N05, 47D05, 47G05

MathSciNet review:
939803

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Abstract | References | Similar Articles | Additional Information

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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DOI:
https://doi.org/10.1090/S0002-9947-1989-0939803-3

Article copyright:
© Copyright 1989
American Mathematical Society