For, let denote the infinite planar sector of opening 2α, and be the Laplacian in,, with the
Robin boundary condition, where stands for the outer normal derivative and. The essential …

Analytical methods are fundamental in studying acoustics problems. One of the important
tools is the Wiener-Hopf method, which can be used to solve many canonical problems with …

We are interested in acoustic wave propagation in time harmonic regime in a two-
dimensional medium which is a local perturbation of an infinite isotropic or anisotropic …

In dimension greater than or equal to three, we investigate the spectrum of a Schrödinger
operator with a δ-interaction supported on a cone whose cross section is the sphere of …

By developing the method of multipliers, we establish sufficient conditions which guarantee
the total absence of eigenvalues of the Laplacian in the half‐space, subject to variable …

A minimization problem with free boundary and its application to inverse scattering problems
Page 1 Interfaces Free Bound. (Online first) DOI 10.4171/IFB/515 © 2024 European …

Analytical methods are fundamental in studying acoustics problems. One of the important
tools is the Wiener-Hopf method, which can be used to solve many canonical problems with …

The spectrum of the Dirichlet Laplacian on any quasi‐conical open set coincides with the
non‐negative semi‐axis. We show that there is a connected quasi‐conical open set such …

We analyze the Factorization method to reconstruct the geometry of a local defect in a
periodic absorbing layer using almost only incident plane waves at a fixed frequency. A …

We provide a link between the virial theorem in functional analysis and the method of
multipliers in theory of partial differential equations. After giving a physical insight into the …