We consider the KdV–Burgers equation and its linear version in presence of a delay feedback. We prove well-posedness of the models and exponential decay estimates under appropriate conditions on the damping coefficients. Our arguments rely on a Lyapunov functional approach combined with a step by step procedure and semigroup theory.

Well-posedness and exponential decay estimates for a Korteweg–de Vries–Burgers equation with time-delay

Pignotti C.
2020-01-01

Abstract

We consider the KdV–Burgers equation and its linear version in presence of a delay feedback. We prove well-posedness of the models and exponential decay estimates under appropriate conditions on the damping coefficients. Our arguments rely on a Lyapunov functional approach combined with a step by step procedure and semigroup theory.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11697/139638
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