EXISTENCE OF GLOBAL DECAYING SOLUTIONS TO THE INITIAL BOUNDARY VALUE PROBLEM FOR QUASILINEAR VISCOELASTIC EQUATIONS OF <b><i>p</i></b>-LAPLACIAN TYPE WITH A DERIVATIVE NONLINEARITY-Reference-Cited by-同舟云学术

EXISTENCE OF GLOBAL DECAYING SOLUTIONS TO THE INITIAL BOUNDARY VALUE PROBLEM FOR QUASILINEAR VISCOELASTIC EQUATIONS OF p-LAPLACIAN TYPE WITH A DERIVATIVE NONLINEARITY

Published:2016 Issue:1 Volume:70 Page:063-082
ISSN:1340-6116
Container-title:Kyushu Journal of Mathematics
language:en
Short-container-title:Kyushu J. Math.

Author:

NAKAO Mitsuhiro

Publisher

Faculty of Mathematics, Kyushu University

Subject

General Mathematics

Link

https://www.jstage.jst.go.jp/article/kyushujm/70/1/70_063/_pdf

Reference15 articles.

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3. [3] H. Engler. Global regular solutions for the dynamic antiplane shear problem in nonlinear viscoelasticity. Math. Z. 202 (1989), 251-259.

4. [4] R. Ikehata, T. Matsuyama and M. Nakao. Global solutions to the initial-boundary value problem for the quasilinear visco-elastic wave equation with perturbation. Funkcial Ekvac. 40 (1997), 293-312.

5. [5] K. Liu and Z. Liu. Exponential decay of the energy of the Euler Bernoulli beam with locally distributed Kelvin-Voigt damping. SIAM J. Control Opt. 36 (1998), 1081-1095.

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