An inverse problem for the two-dimensional wave equation in a stratified medium

2007 ◽  
pp. 263-274 ◽  
Author(s):  
Lorella Fatone ◽  
Pierluigi Maponi ◽  
Cristina Pignotti ◽  
Francesco Zirilli
Keyword(s):  
Inverse Problem ◽  
Wave Equation ◽  
Stratified Medium ◽  
Two Dimensional ◽  
Dimensional Wave

scholarly journals Discrete regularization and convergence of the inverse problem for 1+1 dimensional wave equation

2019 ◽  
Vol 13 (3) ◽  
pp. 575-596 ◽  
Author(s):  
Jussi Korpela ◽  
◽  
Matti Lassas ◽  
Lauri Oksanen ◽  
Keyword(s):  
Inverse Problem ◽  
Wave Equation ◽  
Dimensional Wave

Boundary Feedback Stabilization of a Two-Dimensional Wave Equation

2011 ◽  
Vol 219-220 ◽  
pp. 957-960
Author(s):  
Chun Li Guo ◽  
Cheng Kang Xie ◽  
Fei Shen
Keyword(s):  
Wave Equation ◽  
Boundary Control ◽  
Closed System ◽  
Feedback Stabilization ◽  
Two Dimensional ◽  
Backstepping Method ◽  
Boundary Feedback ◽  
Dimensional Wave

Boundary control of two-dimensional wave equation on the rectangle is considered in this paper. Boundary controllers are designed through backstepping method. Stabilization of the closed system is obtained under the controllers.

Inverse problem for one-dimensional wave equation with matrix potential

2019 ◽  
Vol 27 (2) ◽  
pp. 217-223 ◽  
Author(s):  
Ammar Khanfer ◽  
Alexander Bukhgeim
Keyword(s):  
Inverse Problem ◽  
Wave Equation ◽  
Uniqueness Theorem ◽  
Cauchy Data ◽  
Global Uniqueness ◽  
One Dimensional ◽  
Matrix Potential ◽  
The Matrix ◽  
Real Matrices ◽  
Dimensional Wave

AbstractWe prove a global uniqueness theorem of reconstruction of a matrix-potential {a(x,t)} of one-dimensional wave equation {\square u+au=0}, {x>0,t>0}, {\square=\partial_{t}^{2}-\partial_{x}^{2}} with zero Cauchy data for {t=0} and given Cauchy data for {x=0}, {u(0,t)=0}, {u_{x}(0,t)=g(t)}. Here {u,a,f}, and g are {n\times n} smooth real matrices, {\det(f(0))\neq 0}, and the matrix {\partial_{t}a} is known.

scholarly journals On the Stability of Evolution Galerkin Schemes Applied to a Two‐Dimensional Wave Equation System

2006 ◽  
Vol 44 (4) ◽  
pp. 1556-1583 ◽  
Author(s):  
M. Lukáčová‐Medviďová ◽  
G. Warnecke ◽  
Y. Zahaykah
Keyword(s):  
Wave Equation ◽  
Equation System ◽  
Two Dimensional ◽  
The Stability ◽  
Dimensional Wave
Sign in / Sign up

Export Citation Format

Share Document