Special Session 98: Control, Inverse problems and Long time dynamics of Evolutionary Systems
Energy decay for Korteweg-de Vries-Burgers type equations with delay feedback
Cristina Pignotti
University of L`Aquila Italy
Co-Author(s): Ibtissam Issa
Abstract:
We consider generalized KdV-Burgers equations on the real line with indefinite damping and time delay. By combining semigroup methods with suitable Lyapunov functionals, we prove well-posedness and derive exponential decay estimates under different settings.