We consider the spectral Neumann problem for the Laplace operator in an acoustic waveguide obtained from a straight unit strip by a low box-shaped perturbation. We prove that the waveguide supports a trapped mode with an eigenvalue embedded into the continuous spectrum. The main technical difficulty is caused by corner points of the perturbed wall
In this paper we derive novel approximations to trapped waves in a two-dimensional acoustic waveguid...
International audienceWe consider the propagation of waves in a waveguide with Neumann boundary cond...
Abstract. We study the behavior of the Laplace operator eigenfunctions in an arbitrary resonator (or...
We consider the spectral Neumann problem for the Laplace operator in an acoustic waveguide obtained ...
We consider the spectral Neumann problem for the Laplace operator in an acoustic waveguide Πl ε form...
. We consider a two-dimensional infinitely long acoustic waveguide formed by two parallel lines cont...
The existence of an eigenvalue embedded in the continuous spectrum is proved for the Neumann problem...
International audienceThis paper is concerned with the study of the existence/non-existence of t...
Abstract. This works deals with one dimensional infinite perturbation- namely line defects- in perio...
We consider a planar waveguide with combined Dirichlet and Neumann conditions imposed in a "twisted"...
We consider a family {Omega(epsilon)}epsilon>o of periodic domains in R-2 with waveguide geometry an...
International audienceWe consider the reflection-transmission problem in a waveguide with obstacle. ...
We consider a waveguide modeled by the Laplacian in a straight planar strip with the Dirichlet condi...
AbstractThe resonances for the Dirichlet and Neumann Laplacian are studied on compactly perturbed wa...
Let Omega subset of R-n be a bounded domain. We perturb it to a domain Omega(epsilon) attaching a fa...
In this paper we derive novel approximations to trapped waves in a two-dimensional acoustic waveguid...
International audienceWe consider the propagation of waves in a waveguide with Neumann boundary cond...
Abstract. We study the behavior of the Laplace operator eigenfunctions in an arbitrary resonator (or...
We consider the spectral Neumann problem for the Laplace operator in an acoustic waveguide obtained ...
We consider the spectral Neumann problem for the Laplace operator in an acoustic waveguide Πl ε form...
. We consider a two-dimensional infinitely long acoustic waveguide formed by two parallel lines cont...
The existence of an eigenvalue embedded in the continuous spectrum is proved for the Neumann problem...
International audienceThis paper is concerned with the study of the existence/non-existence of t...
Abstract. This works deals with one dimensional infinite perturbation- namely line defects- in perio...
We consider a planar waveguide with combined Dirichlet and Neumann conditions imposed in a "twisted"...
We consider a family {Omega(epsilon)}epsilon>o of periodic domains in R-2 with waveguide geometry an...
International audienceWe consider the reflection-transmission problem in a waveguide with obstacle. ...
We consider a waveguide modeled by the Laplacian in a straight planar strip with the Dirichlet condi...
AbstractThe resonances for the Dirichlet and Neumann Laplacian are studied on compactly perturbed wa...
Let Omega subset of R-n be a bounded domain. We perturb it to a domain Omega(epsilon) attaching a fa...
In this paper we derive novel approximations to trapped waves in a two-dimensional acoustic waveguid...
International audienceWe consider the propagation of waves in a waveguide with Neumann boundary cond...
Abstract. We study the behavior of the Laplace operator eigenfunctions in an arbitrary resonator (or...
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