Energy decay is established for the damped wave equation on compact Riemannian manifolds where the damping coefficient is allowed to depend on time. Using a time dependent observability inequality, it is shown that the energy of solutions decays at an exponential rate if the damping coefficient satisfies a time dependent... Show more

November 13, 2023

Loading full text...

Similar articles

Loading recommendations...

x1

Energy decay for the time dependent damped wave equation

Click on play to start listening