Observability inequality for the finite-difference semi-discretization of the 1-d coupled wave equations
The authors obtain observability estimates for a 1D system of two coupled wave equations which reads as \(u_{tt}-u_{xx}+\alpha (u-v)=0\) in \((0,L)\times (0,T)\), \(v_{tt}-v_{xx}+\alpha(v-u)=0\) in \((0,L)\times (0,T)\) subject to initial and boundary conditions. The approach relies on discrete multiplier techniques and Fourier series arguments.
scientific article; zbMATH DE number 6418177
scientific article