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.

Anexos:

• fl-afp2.pdf