On Well-Posedness of Scattering Problems in a Kirchhoff--Love Infinite Plate

Almost global well-posedness of Kirchhoff equation with Gevrey data

Article history: Received 26 November 2016 Accepted after revision 3 April 2017 Available online 18 April 2017 Presented by the Editorial Board The aim of this note is to present the almost global well-posedness result for the Cauchy problem for the Kirchhoff equation with large data in Gevrey spaces. We also briefly discuss the corresponding results in bounded and in exterior domains. © 2017 A...

Well-posedness for Hyperbolic Problems

Lipschitz stability in inverse problems for a Kirchhoff plate equation

In this paper, we prove a Carleman estimate for a Kirchhoff plate equation and apply the Carleman estimate to inverse problems of determining spatially varying two Lamé coefficients and the mass density by a finite number of boundary observations. Our main results are Lipschitz stability estimates for the inverse problems under suitable conditions of initial values and boundary val-

Generic Well-posedness in Minimization Problems

The goal of this paper is to provide an overview of results concerning, roughly speaking, the following issue: given a (topologized) class of minimum problems, “how many” of them are well-posed? We will consider several ways to define the concept of “how many,” and also several types of well-posedness concepts. We will concentrate our attention on results related to uniform convergence on bound...

Boundary Homogenization and Reduction of Dimension in a Kirchhoff-Love Plate

We investigate the asymptotic behavior, as ε tends to 0+, of the transverse displacement of a Kirchhoff-Love plate composed of two domains Ωε ∪ Ω − ε , contained in the (x1, x2)-coordinate plane and depending on ε in the following way. The first domain Ωε is a thin strip with vanishing height hε (in direction x2), as ε tends to 0+. The second one Ωε is a comb with fine teeth, having small cross...