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2012 How to Deal with Nonlinear Terms in the NonDissipative Case
N.E. Tatar
Afr. Diaspora J. Math. (N.S.) 14(1): 39-53 (2012).

Abstract

In this work we suggest a way to estimate some nonlinear terms appearing in the study of semilinear viscoelastic problems. So far we know how to deal with these terms only when the energy is decreasing. In this case we can estimate parts of these nonlinearities by the initial energy. We solve this issue in the general case with the help of a new differential inequality.

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N.E. Tatar . "How to Deal with Nonlinear Terms in the NonDissipative Case." Afr. Diaspora J. Math. (N.S.) 14 (1) 39 - 53, 2012.

Information

Published: 2012
First available in Project Euclid: 18 July 2013

zbMATH: 1277.35255
MathSciNet: MR3080395

Subjects:
Primary: 35L20, 35B40, 45K05

Keywords: Exponential decay , memory term , relaxation function , viscoelasticity

Rights: Copyright © 2012 Mathematical Research Publishers

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Vol.14 • No. 1 • 2012
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