Preprint A419/2005
On the exponential decay of the critical generalized Korteweg-de Vries equation with localized damping
Ademir Pazoto | Linares, Felipe
Keywords: exponential deacy | KdV equation
This paper is concerned with the the asymptotic behavior of solutions of the critical generalized Korteweg-de Vries equation in a bounded interval with a localized damping term. Combining multiplier techniques and compactness arguments it is shown that the problem of exponential decay of the energy is reduced to prove the unique continuation property of weak solutions. A locally uniform stabilization result is derived.