1 citations · 1 across the 3 of their papers we have counts for
6 papers
Discreteness of Transmission Eigenvalues for Higher-Order Main Terms and Perturbations
Andoni García, Esa V. Vesalainen, Miren Zubeldia
In this paper we extend Sylvester's approach via upper triangular compact operators to establish the discreteness of transmission eigenvalues for higher-order main terms and higher…
Unique continuation for magnetic Schrödinger operator with singular potentials
Naiara Arrizabalaga, Miren Zubeldia
In this paper we study unique continuation theorems for magnetic Schrödinger equation via Carleman estimates. We use integration by parts techniques in order to show these estimate…
The inverse Robin boundary value problem in a half-space
Lassi Päivärinta, Miren Zubeldia
We study the inverse Robin problem for the Schrödinger equation in a half-space. The potential is assumed to be compactly supported. We first solve the direct problem for dimension…
The forward problem for the electromagnetic Helmholtz equation with critical singularities
Juan Antonio Barceló, Luis Vega, Miren Zubeldia
We study the forward problem of the magnetic Schrödinger operator with potentials that have a strong singularity at the origin. We obtain new resolvent estimates and give some appl…
Energy concentration and explicit Sommerfeld radiation condition for the electromagnetic Helmholtz equation
Miren Zubeldia
We study the electromagnetic Helmholtz equation \notag (\nabla + ib(x))^{2}u(x) + n(x)u(x) = f(x), \quad x\in\Rd with the magnetic vector potential and a variable ind…
Limiting absorption principle for the electromagnetic Helmholtz equation with singular potentials
Miren Zubeldia
We study the following Helmholtz equation in with magnetic and electric potentials that are singular…