Asymptotic behavior of the solutions of a transmission problem for the Helmholtz equation: A functional analytic approach
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Publication:6181818
DOI10.1002/mma.8111zbMath1529.35150OpenAlexW4213264665MaRDI QIDQ6181818
Tuğba Akyel, Massimo Lanza de Cristoforis
Publication date: 20 December 2023
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.8111
Boundary value problems for second-order elliptic equations (35J25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)
Cites Work
- A real analyticity result for a nonlinear integral operator
- Simple Neumann eigenvalues for the Laplace operator in a domain with a small hole
- Correction of order three for the expansion of two dimensional electromagnetic fields perturbed by the presence of inhomogeneities of small diameter
- Asymptotic formulas for perturbations in the electromagnetic fields due to the presence of inhomogeneities of small diameter. II: The full Maxwell equations.
- Local uniqueness of the solutions for a singularly perturbed nonlinear nonautonomous transmission problem
- Existence results for a nonlinear transmission problem
- Real analytic dependence of simple and double layer potentials upon perturbation of the support and of the density
- Simple eigenvalues for the Steklov problem in a domain with a small hole. A functional analytic approach
- Asymptotic behaviour of the solutions of a non-linear transmission problem for the Laplace operator in a domain with a small hole. A functional analytic approach
- Transmission problems for the Helmholtz equation
- Recovery of Small Inhomogeneities from the Scattering Amplitude at a Fixed Frequency
- Asymptotic formulas for perturbations in the electromagnetic fields due to the presence of inhomogeneities of small diameter
- Singularly Perturbed Boundary Value Problems
- Series expansions for the solution of the Dirichlet problem in a planar domain with a small hole
- Asymptotically precise norm estimates of scattering from a small circular inhomogeneity
- Integral Equation Methods in Scattering Theory
- Asymptotic behavior of the solutions of a nonlinear Robin problem for the Laplace operator in a domain with a small hole: a functional analytic approach
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