Large Time Stability Control for a Class of Quasilinear Parabolic and Hyperbolic Equations

DOI

10.2991/amcce-17.2017.2How to use a DOI?

Keywords

Large; Decay; Inequality; Time.

Abstract

In this paper, we concerned with the stability control of solutions for a class of quasi-linear wave equations with weak attenuation. We use a so-called energy perturbation method to establish weak controllability of solutions in terms of energy norm for a class of nonlinear functions. We show the weak controllability with the help of differential inequalities by estimating the relationship between energy inequalities and attenuating property of weak solutions.

Copyright

© 2017, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Hongen Li
AU  - SHuxian Deng
PY  - 2017/03
DA  - 2017/03
TI  - Large Time Stability Control for a Class of Quasilinear Parabolic and Hyperbolic Equations
BT  - Proceedings of the 2017 2nd International Conference on Automation, Mechanical Control and Computational Engineering (AMCCE 2017)
PB  - Atlantis Press
SP  - 5
EP  - 8
SN  - 2352-5401
UR  - https://doi.org/10.2991/amcce-17.2017.2
DO  - 10.2991/amcce-17.2017.2
ID  - Li2017/03
ER  -