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arXiv · 2401.01777

Carleman estimates for third order operators of KdV and non KdV-type and applications

Serena Federico
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Abstract

In this paper we study a class of variable coefficient third order partial differential operators on $\mathbb{R}^{n+1}$, containing, as a subclass, some variable coefficient operators of KdV-type in any space dimension. For such a class, as well as for the adjoint class, we obtain a Carleman estimate and the local solvability at any point of $\mathbb{R}^{n+1}$. A discussion of possible applications in the context of dispersive equations is provided.

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Serena Federico. 2024-01-03. Carleman estimates for third order operators of KdV and non KdV-type and applications. https://arxiv.org/abs/2401.01777

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