A limiting absorption principle for Helmholtz systems and time-harmonic isotropic Maxwell's equations
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Publication:2235851
DOI10.1016/j.jfa.2021.109233zbMath1479.35850arXiv2009.05087OpenAlexW3201050680MaRDI QIDQ2235851
Lucrezia Cossetti, Rainer Mandel
Publication date: 22 October 2021
Published in: Journal of Functional Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2009.05087
Estimates of eigenvalues in context of PDEs (35P15) A priori estimates in context of PDEs (35B45) Schrödinger operator, Schrödinger equation (35J10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Perturbations in context of PDEs (35B20) Electromagnetic theory (general) (78A25) Maxwell equations (35Q61)
Related Items
Ground states for Maxwell's equations in nonlocal nonlinear media, Time-harmonic solutions for Maxwell's equations in anisotropic media and Bochner-Riesz estimates with negative index for non-elliptic surfaces, Resolvent estimates for time-harmonic Maxwell's equations in the partially anisotropic case, Existence and multiplicity of solutions for a class of Helmholtz systems
Cites Work
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- Limiting absorption principle and well-posedness for the Helmholtz equation with sign changing coefficients
- Agmon-Kato-Kuroda theorems for a large class of perturbations
- A Carleman inequality for the stationary anisotropic Maxwell system
- Carleman estimates and absence of embedded eigenvalues
- On the spectra and eigenfunctions of the Schrödinger and Maxwell operators
- Unique continuation and absence of positive eigenvalues for Schrödinger operators. (With an appendix by E. M. Stein)
- Uniform Sobolev inequalities and unique continuation for second order constant coefficient differential operators
- On the absence of positive eigenvalues of Schrödinger operators with rough potentials
- Non trivial \(L^q\) solutions to the Ginzburg-Landau equation
- A limiting absorption principle for the Helmholtz equation with variable coefficients
- Superlensing using complementary media and reflecting complementary media for electromagnetic waves
- Spectral stability of Schrödinger operators with subordinated complex potentials
- Absence of eigenvalues of two-dimensional magnetic Schrödinger operators
- Remarks on \(L^{p}\)-limiting absorption principle of Schrödinger operators and applications to spectral multiplier theorems
- On the absence of positive eigenvalues for one-body Schrödinger operators
- Sharp resolvent estimates outside of the uniform boundedness range
- Absence of eigenvalues of Dirac and Pauli Hamiltonians via the method of multipliers
- Limiting absorption principle and well-posedness for the time-harmonic Maxwell equations with anisotropic sign-changing coefficients
- Uniform resolvent estimates for Schrödinger operator with an inverse-square potential
- New limiting absorption and limit amplitude principles for periodic operators
- The limiting absorption principle for periodic differential operators and applications to nonlinear Helmholtz equations
- Lower bounds for solutions of Schrödinger equations
- Über das asymptotische Verhalten der Lösungen von \(\Delta u+\lambda u=0\) in unendlichen Gebieten
- Time-Harmonic Maxwell Equations in the Exterior of Perfectly Conducting, Irregular Obstacles
- Sharp counterexamples in unique continuation for second order elliptic equations
- Helmholtz and Dispersive Equations with Variable Coefficients on Exterior Domains
- Growth properties of solutions of the reduced wave equation with a variable coefficient
- Low Frequency Asymptotics for Time-Harmonic Generalized Maxwell Equations in Nonsmooth Exterior Domains
- Estimating ∇u by divu and curlu
- Uniform resolvent and Strichartz estimates for Schrödinger equations with critical singularities
- Limiting Absorption Principle for the Dissipative Helmholtz Equation
- Spectral and scattering theory of one-dimensional coupled photonic crystals
- Classical Fourier Analysis
- Modern Fourier Analysis
- On positive eigenvalues of one‐body schrödinger operators
- A counterexample in unique continuation
- Strong unique continuation property for time harmonic Maxwell equations
