Lipschitz stability of an inverse source problem for ADMB-KDV equation

Lin Yan, Bin Wu, Qun Chen, Zewen Wang, Jun Yu


The paper is concerned with the inverse source problem for an ADMB-KdV equation, which describes the nonlinear waves generated by a long-wave instability in a viscous film flowing down an inclined rigid surface. The inverse problem aims to determine a spatially varying source function from internal observation data on a suitable subdomain and the whole spatial observation data at a time. We first prove a Carleman inequality for ADMB-KdV equation, and then apply this Carleman inequality to derive Lipschitz stability for this inverse source problem.


Carleman inequality ADMB-KdV equation; inverse source problem; Lipschitz stability

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