Boundary value problems for Dirac operators and Maxwell's equations in fractal domains
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Publication:5178131
DOI10.1002/mma.3073zbMath1307.30086OpenAlexW2118310177MaRDI QIDQ5178131
Juan Bory-Reyes, Rafael Ávila Ávila, Ricardo Abreu-Blaya
Publication date: 13 March 2015
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/mma.3073
Related Items (7)
Towards a physics on fractals: differential vector calculus in three-dimensional continuum with fractal metric ⋮ Electromagnetic Riemann-Hilbert boundary value problem in fractal domains of \(\mathbb{R}^2\) ⋮ A fourth-order elliptic Riemann type problem in \(\mathbb{R}^{3}\) ⋮ Marcinkiewicz exponent and boundary value problems in fractal domains of \(\mathbb{R}^{n+1}\) ⋮ Cauchy representation formulas for Maxwell equations in 3-dimensional domains with fractal boundaries ⋮ Dirichlet type problem for 2D quaternionic time-harmonic Maxwell system in fractal domains ⋮ 2D quaternionic time-harmonic Maxwell system in elliptic coordinates
Cites Work
- A Hermitian Cauchy formula on a domain with fractal boundary
- A Martinelli-Bochner formula on fractal domains
- The Gauss-Green theorem for fractal boundaries
- Some properties of the Cauchy-type integral for the time harmonic Maxwell equations
- Quaternionic analysis and elliptic boundary value problems
- Boundary value problems and Hardy spaces associated to the Helmholtz equation in Lipschitz domains
- Quaternionic time-harmonic Maxwell operator
- Higher order Teodorescu operators in quaternionic analysis related to the Helmholtz operator
- Fractal Drum, Inverse Spectral Problems for Elliptic Operators and a Partial Resolution of the Weyl-Berry Conjecture
- A function theory for the operator D-λ
- Boundary value problems for Dirac operators and Maxwell's equations in non‐smooth domains
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