2019 Global existence and exponential decay for a viscoelastic Petrovsky system
Yaojun Ye
Rocky Mountain J. Math. 49(5): 1709-1724 (2019). DOI: 10.1216/RMJ-2019-49-5-1709

Abstract

We investigate the initial-boundary value problem for a viscoelastic Petrovsky system of Kirchhoff-type with nonlinear source term. By applying the standard continuation principle, the existence of global solutions for this problem is proved and the exponential decay estimate of global solutions is obtained.

Citation

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Yaojun Ye. "Global existence and exponential decay for a viscoelastic Petrovsky system." Rocky Mountain J. Math. 49 (5) 1709 - 1724, 2019. https://doi.org/10.1216/RMJ-2019-49-5-1709

Information

Published: 2019
First available in Project Euclid: 19 September 2019

zbMATH: 07113706
MathSciNet: MR4010580
Digital Object Identifier: 10.1216/RMJ-2019-49-5-1709

Subjects:
Primary: 35L75
Secondary: 35B40 , 35L20

Keywords: exponential decay estimate , global existence , Petrovsky system of Kirchhoff-type

Rights: Copyright © 2019 Rocky Mountain Mathematics Consortium

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Vol.49 • No. 5 • 2019
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