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arXiv · 2312.02294

Boundary Exponential Stabilization for the Linear KP-II equation without Critical Size Restrictions

F. A. Gallego·J. R. Muñoz
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Abstract

In this paper, we delve into the intricacies of boundary stabilization for the linearized KP-II equation within the constraints of a bounded domain, a phenomenon known as ``critical length." Our primary aim is to design a feedback law that ensures the existence and exponential stabilization of solutions in the energy space, without length restrictions on the domain $ \Omega = (0, L) \times (0, L)$, $ L > 0 $. Furthermore, we examine the interaction between the drift term $ u_x $ under these constraints.

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F. A. Gallego, J. R. Muñoz. 2023-12-04. Boundary Exponential Stabilization for the Linear KP-II equation without Critical Size Restrictions. https://arxiv.org/abs/2312.02294

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