Prefer a chat interface with context about you and your work?
Stabilization of the Korteweg-de Vries equation with localized damping
We study the stabilization of solutions of the Korteweg-de Vries (KdV) equation in a bounded interval under the effect of a localized damping mechanism.Using multiplier techniques we deduce the exponential decay in time of the solutions of the underlying linear equation.A locally uniform stabilization result of the solutions of the …