| Issue |
ESAIM: COCV
Volume 26, 2020
|
|
|---|---|---|
| Article Number | 67 | |
| Number of page(s) | 25 | |
| DOI | https://doi.org/10.1051/cocv/2019050 | |
| Published online | 21 September 2020 | |
Asymptotic stability of the exact boundary controllability of nodal profile for quasilinear hyperbolic systems*
1
Shanghai Key Laboratory for Contemporary Applied Mathematics, Laboratory of Mathematics for Nonlinear Science, School of Mathematical Sciences, Fudan University,
Shanghai
200433, P.R. China.
2
Department of Mathematics, Institute for Nonlinear Sciences, Donghua University,
Shanghai
201620, P.R. China.
** Corresponding author: lbwang@fudan.edu.cn
Received:
16
November
2018
Accepted:
13
August
2019
In this paper, we consider the asymptotic stability of the exact boundary controllability of nodal profile for quasilinear hyperbolic systems. We will prove that if the nodal profile and the given boundary function possess an exponential or polynomial decaying property, then the boundary control function and the solution to the corresponding mixed initial-boundary value problem will possess the same decaying property.
Mathematics Subject Classification: 35B37 / 35L60 / 93B05
Key words: Quasilinear hyperbolic system / exact boundary controllability of nodal profile / classical solutions / asymptotic stability
© EDP Sciences, SMAI 2020
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