We consider the two-dimensional Dirichlet boundary value problem for the Helmholtz equation in a non-locally perturbed half-plane. We look for a solution in the form of a double-layer potential using, as fundamental solution, the Green's function for the impedance half-plane. This leads to a boundary integral equation which can be solved for any bounded and continuous boundary data provided the boundary itself does not differ too much from the flat boundary {(x1,h) ∈ R2 : x1 ∈ R} (h > 0). We show this by calculating the symbol of the integral operator in the integral equa- tion in the flat boundary case, and then using standard operator perturbation results. Continuous dependence of the solution on the shape of the boundary is shown
International audienceWe study direct first-kind boundary integral equations arising from transmissi...
We prove well-posedness for the time-harmonic acoustic scattering of plane waves from locally pertur...
A Dirichlet problem is considered for the Helmholtz equation and for a class of geometries for which...
We consider the Dirichlet boundary value problem for the Helmholtz equation in a non-locally perturb...
In this paper, we consider the Dirichlet and impedance boundary value problems for the Helmholtz equ...
We consider the Dirichlet boundary-value problem for the Helmholtz equation in a non-locally perturb...
The Dirichlet and impedance boundary value problems for the Helmholtz equation in a half-plane with ...
We prove unique existence of solution for the impedance (or third) boundary value problem for the He...
For a nonlocally perturbed half- space we consider the scattering of time-harmonic acoustic waves. A...
AbstractIn this paper, we consider the scattering problem for a locally perturbed half-plane with L2...
The Dirichlet and impedance boundary value problems for the Helmholtz equation in a half-plane with ...
We consider the problem of scattering of time-harmonic acoustic waves by an unbounded sound-soft rou...
We consider the Dirichlet and Robin boundary value problems for the Helmholtz equation in a non-loca...
This paper is concerned with the mathematical analysis of the solution for the wave prop-agation fro...
© 2018, Pleiades Publishing, Ltd. I consider the problems of diffraction of electromagnetic waves on...
International audienceWe study direct first-kind boundary integral equations arising from transmissi...
We prove well-posedness for the time-harmonic acoustic scattering of plane waves from locally pertur...
A Dirichlet problem is considered for the Helmholtz equation and for a class of geometries for which...
We consider the Dirichlet boundary value problem for the Helmholtz equation in a non-locally perturb...
In this paper, we consider the Dirichlet and impedance boundary value problems for the Helmholtz equ...
We consider the Dirichlet boundary-value problem for the Helmholtz equation in a non-locally perturb...
The Dirichlet and impedance boundary value problems for the Helmholtz equation in a half-plane with ...
We prove unique existence of solution for the impedance (or third) boundary value problem for the He...
For a nonlocally perturbed half- space we consider the scattering of time-harmonic acoustic waves. A...
AbstractIn this paper, we consider the scattering problem for a locally perturbed half-plane with L2...
The Dirichlet and impedance boundary value problems for the Helmholtz equation in a half-plane with ...
We consider the problem of scattering of time-harmonic acoustic waves by an unbounded sound-soft rou...
We consider the Dirichlet and Robin boundary value problems for the Helmholtz equation in a non-loca...
This paper is concerned with the mathematical analysis of the solution for the wave prop-agation fro...
© 2018, Pleiades Publishing, Ltd. I consider the problems of diffraction of electromagnetic waves on...
International audienceWe study direct first-kind boundary integral equations arising from transmissi...
We prove well-posedness for the time-harmonic acoustic scattering of plane waves from locally pertur...
A Dirichlet problem is considered for the Helmholtz equation and for a class of geometries for which...