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arXiv · 1906.02488

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

Vilmos Komornik·Cristina Pignotti
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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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Vilmos Komornik, Cristina Pignotti. 2019-06-06. Well-posedness and exponential decay estimates for a Korteweg-de Vries-Burgers equation with time-delay. https://arxiv.org/abs/1906.02488

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