Dirichlet type problem for 2D quaternionic time-harmonic Maxwell system in fractal domains
DOI10.1155/2020/4735357zbMath1435.78003OpenAlexW3003655930MaRDI QIDQ2308028
Yudier Peña Pérez, Paul Bosch, Ricardo Abreu-Blaya, Juan Bory-Reyes
Publication date: 25 March 2020
Published in: Advances in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2020/4735357
Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Fractals (28A80) Electromagnetic theory (general) (78A25) Maxwell equations (35Q61) Time-dependent Schrödinger equations and Dirac equations (35Q41)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Integrable boundaries and fractals for Hölder classes; the Gauss-Green theorem
- Nonlinear time-harmonic Maxwell equations in domains
- Comparisons of three kinds of plane wave methods for the Helmholtz equation and time-harmonic Maxwell equations with complex wave numbers
- The mathematical theory of time-harmonic Maxwell's equations. Expansion-, integral-, and variational methods
- The Gauss-Green theorem for fractal boundaries
- Nonlinear time-harmonic Maxwell equations in a bounded domain: lack of compactness
- Boundary value problems for hyperholomorphic solutions of two dimensional Helmholtz equation in a fractal domain
- A plane wave method combined with local spectral elements for nonhomogeneous Helmholtz equation and time-harmonic Maxwell equations
- On a Cauchy-type integral related to the Helmholtz operator in the plane
- 2D quaternionic time-harmonic Maxwell system in elliptic coordinates
- Hölder type estimates for the \(\partial \)-equation in strongly pseudoconvex domains
- Analytic Riemann boundary value problem on \(h\)-summable closed curves
- Analysis of electromagnetic scattering from an overfilled cavity in the ground plane
- Randwertprobleme der Theorie elektromagnetischer Schwingungen
- Wave Propagation in a 2-D Optical Waveguide
- On the spectra of some integral operators related to the potential theory in the plane
- An integral equation method for the electromagnetic scattering from cavities
- Boundary value problems for Dirac operators and Maxwell's equations in non‐smooth domains
- Boundary value problems for Dirac operators and Maxwell's equations in fractal domains
- On quaternionic analysis for the Schrödinger operator with a particular potential and its relation with the Mathieu functions
- A Koch-Like Sided Fractal Bow-Tie Dipole Antenna
- Inverse acoustic and electromagnetic scattering theory
This page was built for publication: Dirichlet type problem for 2D quaternionic time-harmonic Maxwell system in fractal domains