The functional analytic approach for quasi-periodic boundary value problems for the Helmholtz equation (Q6187490)

scientific article; zbMATH DE number 7787937

Language	Label	Description	Also known as
English	The functional analytic approach for quasi-periodic boundary value problems for the Helmholtz equation	scientific article; zbMATH DE number 7787937

Statements

instance of

scholarly article

0 references

title

The functional analytic approach for quasi-periodic boundary value problems for the Helmholtz equation (English)

0 references

0 references

0 references

0 references

0 references

Advances in Differential Equations

0 references

publication date

15 January 2024

0 references

full work available at URL

https://arxiv.org/abs/2210.15927

0 references

https://projecteuclid.org/journals/advances-in-differential-equations/volume-29/issue-1_2f_2/The-functional-analytic-approach-for-quasi-periodic-boundary-value-problems/10.57262/ade029-0102-27.full

0 references

zbMATH Keywords

Helmholtz equation

0 references

quasi-periodic boundary value problems

0 references

MaRDI profile type

MaRDI publication profile

0 references

cites work

A Mathematical and Numerical Framework for Bubble Meta-Screens

0 references

Subwavelength phononic bandgap opening in bubbly media

0 references

Subwavelength guided modes for acoustic waves in bubbly crystals with a line defect

0 references

Polarization and moment tensors. With applications to inverse problems and effective medium theory

0 references

Q3615497

0 references

Layer Potential Techniques in Spectral Analysis. Part II: Sensitivity Analysis of Spectral Properties of High Contrast Band‐Gap Materials

0 references

On the properties of quasi-periodic boundary integral operators for the Helmholtz equation

0 references

A Dirichlet problem for the Laplace operator in a domain with a small hole close to the boundary

0 references

Global representation and multiscale expansion for the Dirichlet problem in a domain with a small hole close to the boundary

0 references

Interactions Between Moderately Close Inclusions for the Two-Dimensional Dirichlet–Laplacian

0 references

INTERACTIONS BETWEEN MODERATELY CLOSE INCLUSIONS FOR THE LAPLACE EQUATION

0 references

On the evaluation of quasi-periodic Green functions and wave-scattering at and around Rayleigh-Wood anomalies

0 references

Solution of a boundary value problem for the Helmholtz equation via variation of the boundary into the complex domain

0 references

Three-dimensional quasi-periodic shifted Green function throughout the spectrum, including Wood anomalies

0 references

Q3344779

0 references

Integral Equation Methods in Scattering Theory

0 references

Converging expansions for Lipschitz self-similar perforations of a plane sector

0 references

Stokes flow in a singularly perturbed exterior domain

0 references

Weakly singular and microscopically hypersingular load perturbation for a nonlinear traction boundary value problem: a functional analytic approach

0 references

Singularly Perturbed Boundary Value Problems

0 references

Shape analyticity and singular perturbations for layer potential operators

0 references

Local uniqueness of the solutions for a singularly perturbed nonlinear nonautonomous transmission problem

0 references

A mixed problem for the Laplace operator in a domain with moderately close holes

0 references

The Dirichlet problem in a planar domain with two moderately close holes

0 references

Series expansion for the effective conductivity of a periodic dilute composite with thermal resistance at the two-phase interface

0 references

Q5185568

0 references

Lattice sums and the two-dimensional, periodic Green's function for the Helmholtz equation

0 references

High Order Topological Asymptotics: Reconciling Layer Potentials and Compound Asymptotic Expansions

0 references

Singular perturbation Dirichlet problem in a double-periodic perforated plane

0 references

0 references

0 references

0 references

0 references

0 references

Asymptotic behaviour of the conformal representation of a Jordan domain with a small hole in Schauder spaces

0 references

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

0 references

Asymptotic behavior of the solutions of the Dirichlet problem for the Laplace operator in a domain with a small hole. A functional analytic approach

0 references

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

0 references

A real analyticity result for a nonlinear integral operator

0 references

A singularly perturbed nonlinear Robin problem in a periodically perforated domain: a functional analytic approach†

0 references

Analytic dependence of a periodic analog of a fundamental solution upon the periodicity parameters

0 references

The Green's function for the two-dimensional Helmholtz equation in periodic domains

0 references

Regularizing properties of space‐periodic layer heat potentials and applications to boundary value problems in periodic domains

0 references

Perturbation analysis of the effective conductivity of a periodic composite

0 references

Green's kernels and meso-scale approximations in perforated domains

0 references

Asymptotic theory of elliptic boundary value problems in singularly perturbed domains. Vol. II. Transl. from the German by Boris Plamenevskii

0 references

A singularly perturbed Dirichlet problem for the Laplace operator in a periodically perforated domain. A functional analytic approach

0 references

Spectral gaps in the Dirichlet and Neumann problems on the plane perforated by a doubleperiodic family of circular holes

0 references

Topological derivatives in shape optimization

0 references

Domain Decomposition for Quasi-Periodic Scattering by Layered Media via Robust Boundary-Integral Equations at All Frequencies

0 references

Source-neutral Green'functions for periodic problems in electrostatics, and their equivalents in electromagnetism

0 references

Potential and scattering theory on wildly perturbed domains

0 references

Q3284386

0 references

Q4039724

0 references

Identifiers

arXiv ID

2210.15927

0 references

DOI

10.57262/ade029-0102-27

0 references

Mathematics Subject Classification ID

0 references

0 references

0 references

0 references

Sitelinks

Mathematics(1 entry)

mardi Publication:6187490