A biquaternionic reformulation of Maxwell's equations via Fourier analysis
Fuente:
arXiv
Saved in:
| Main Authors: | Guillén-Villalobos, Aarón, Delgado, Briceyda B., Rodríguez, Héctor Vargas |
|---|---|
| Format: | Preprint |
| Published: |
2026
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
General solution of the inhomogenous div-curl system and consequences
by: Delgado, Briceyda B., et al.
Published: (2017)
by: Delgado, Briceyda B., et al.
Published: (2017)
Well-posedness of the Maxwell equations with nonlinear Ohm law
by: Griepentrog, Jens A., et al.
Published: (2022)
by: Griepentrog, Jens A., et al.
Published: (2022)
On the convergence to the Navier-Stokes-Maxwell system with solenoidal Ohm's law
by: Guo, Zihua, et al.
Published: (2025)
by: Guo, Zihua, et al.
Published: (2025)
Pseudodifferential operators on time-frequency invariant Banach spaces and applications to Gabor Frames
by: Garello, Gianluca, et al.
Published: (2024)
by: Garello, Gianluca, et al.
Published: (2024)
Semi-uniform stabilization of anisotropic Maxwell's equations via boundary feedback on split boundary
by: Skrepek, Nathanael, et al.
Published: (2023)
by: Skrepek, Nathanael, et al.
Published: (2023)
On polarization interface conditions for time-harmonic Maxwell's equations
by: Delourme, Bérangère, et al.
Published: (2025)
by: Delourme, Bérangère, et al.
Published: (2025)
Analytic spectral perturbation theory for a high-contrast Maxwell operator
by: Kohn, Robert V., et al.
Published: (2026)
by: Kohn, Robert V., et al.
Published: (2026)
The Maxwell-Klein-Gordon equation with scattering data
by: Dai, Wei, et al.
Published: (2023)
by: Dai, Wei, et al.
Published: (2023)
Well-posedness and exponential stability of dispersive nonlinear Maxwell equations with PML: An evolutionary approach
by: Margenberg, Nils, et al.
Published: (2024)
by: Margenberg, Nils, et al.
Published: (2024)
Analysis of the sine-Gordon equation with a nonlinear $δ$-potential
by: Moroni, Sergio, et al.
Published: (2026)
by: Moroni, Sergio, et al.
Published: (2026)
Dynamics of the sine-Gordon equation on tadpole graphs
by: Pava, Jaime Angulo, et al.
Published: (2025)
by: Pava, Jaime Angulo, et al.
Published: (2025)
Infinitely many free or prescribed mass solutions for fractional Hartree equations and Pohozaev identities
by: Cingolani, Silvia, et al.
Published: (2023)
by: Cingolani, Silvia, et al.
Published: (2023)
Exponential Stability for Maxwell-type Systems Revisited
by: Waurick, Marcus
Published: (2026)
by: Waurick, Marcus
Published: (2026)
The mixed fractional Hartree equations in Fourier amalgam and modulation spaces
by: Bhimani, Divyang G., et al.
Published: (2023)
by: Bhimani, Divyang G., et al.
Published: (2023)
Hilbert transform for the three-dimensional Vekua equation
by: Delgado, Briceyda B., et al.
Published: (2018)
by: Delgado, Briceyda B., et al.
Published: (2018)
Wigner Representation of Schrödinger Propagators
by: Cordero, Elena, et al.
Published: (2023)
by: Cordero, Elena, et al.
Published: (2023)
Resonant modes of two hard inclusions within a soft elastic material and their stress estimate
by: Li, Hongjie, et al.
Published: (2024)
by: Li, Hongjie, et al.
Published: (2024)
On non-uniqueness of mild solutions and stationary singular solutions to the Navier-Stokes equations
by: Cheskidov, Alexey, et al.
Published: (2026)
by: Cheskidov, Alexey, et al.
Published: (2026)
Hardy's Uncertainty principle for Schrödinger equations with quadratic Hamiltonians
by: Cordero, Elena, et al.
Published: (2024)
by: Cordero, Elena, et al.
Published: (2024)
Extensions of Daubechies' theorem: Reinhardt domains, Hagedorn wavepackets and mixed-state localization operators
by: Svela, Erling A. T.
Published: (2024)
by: Svela, Erling A. T.
Published: (2024)
Eigenvalue Bifurcation in Doubly Nonlinear Problems with an Application to Surface Plasmon Polaritons
by: Dohnal, Tomáš, et al.
Published: (2020)
by: Dohnal, Tomáš, et al.
Published: (2020)
Self-similar vorticity around the boundary and non-uniqueness of solutions to the two-dimensional Navier-Stokes equations in the half space
by: Aoki, Motofumi, et al.
Published: (2025)
by: Aoki, Motofumi, et al.
Published: (2025)
Broadband quasistatic passive cloaking: bounds and limitations in the near-field regime
by: Cassier, Maxence, et al.
Published: (2026)
by: Cassier, Maxence, et al.
Published: (2026)
On bilinear estimates and critical uniqueness classes for Navier-Stokes equations
by: Ferreira, Lucas C. F., et al.
Published: (2022)
by: Ferreira, Lucas C. F., et al.
Published: (2022)
Calderón's inverse problem via Vekua theory
by: Delgado, Briceyda B.
Published: (2026)
by: Delgado, Briceyda B.
Published: (2026)
On the stability of solutions to non-Newtonian Navier--Stokes--Fourier-like systems in the supercritical case
by: Abbatiello, Anna, et al.
Published: (2026)
by: Abbatiello, Anna, et al.
Published: (2026)
Generalized Snell's law and Maxwell equations
by: Gutiérrez, Cristian E., et al.
Published: (2023)
by: Gutiérrez, Cristian E., et al.
Published: (2023)
The DC Kerr Effect in Nonlinear Optics
by: Eptaminitakis, Nikolas, et al.
Published: (2025)
by: Eptaminitakis, Nikolas, et al.
Published: (2025)
Maximal $L_p$-regularity for $x$-dependent fractional heat equations with Dirichlet conditions
by: Abels, Helmut, et al.
Published: (2023)
by: Abels, Helmut, et al.
Published: (2023)
Wigner Analysis of Fourier Integral Operators with symbols in the Shubin classes
by: Cordero, Elena, et al.
Published: (2024)
by: Cordero, Elena, et al.
Published: (2024)
Normalized solutions of nonlinear magnetic Schrödinger equations on metric graphs
by: d'Avenia, Pietro, et al.
Published: (2025)
by: d'Avenia, Pietro, et al.
Published: (2025)
Dynamics of the Korteweg-de Vries equation on a balanced metric graph
by: Pava, Jaime Angulo, et al.
Published: (2024)
by: Pava, Jaime Angulo, et al.
Published: (2024)
Understanding of linear operators through Wigner analysis
by: Cordero, Elena, et al.
Published: (2024)
by: Cordero, Elena, et al.
Published: (2024)
Local existence of solutions and blow-up criteria for the Boussinesq equations in Lei-Lin-Gevrey Spaces
by: Guidolin, Patrícia L., et al.
Published: (2026)
by: Guidolin, Patrícia L., et al.
Published: (2026)
Shape Derivatives for Maxwell's Equations with Nonlinear Boundary Conditions
by: Deng, Chao, et al.
Published: (2026)
by: Deng, Chao, et al.
Published: (2026)
Well-posedness for a fourth-order nonisothermal tumor growth model of Caginalp type
by: Cavalleri, Giulia, et al.
Published: (2025)
by: Cavalleri, Giulia, et al.
Published: (2025)
Normalized solutions for nonlinear Schrödinger equations with $L^2$-critical nonlinearity
by: Cingolani, Silvia, et al.
Published: (2024)
by: Cingolani, Silvia, et al.
Published: (2024)
Boltzmann boundary layer equation with Maxwell reflection boundary condition and applications to fluid limits
by: He, Ling-Bing, et al.
Published: (2025)
by: He, Ling-Bing, et al.
Published: (2025)
Nonuniqueness of generalised weak solutions to the primitive and Prandtl equations
by: Boutros, Daniel W., et al.
Published: (2023)
by: Boutros, Daniel W., et al.
Published: (2023)
On the radially deformed Fourier transform
by: De Bie, Hendrik, et al.
Published: (2024)
by: De Bie, Hendrik, et al.
Published: (2024)
Similar Items
-
General solution of the inhomogenous div-curl system and consequences
by: Delgado, Briceyda B., et al.
Published: (2017) -
Well-posedness of the Maxwell equations with nonlinear Ohm law
by: Griepentrog, Jens A., et al.
Published: (2022) -
On the convergence to the Navier-Stokes-Maxwell system with solenoidal Ohm's law
by: Guo, Zihua, et al.
Published: (2025) -
Pseudodifferential operators on time-frequency invariant Banach spaces and applications to Gabor Frames
by: Garello, Gianluca, et al.
Published: (2024) -
Semi-uniform stabilization of anisotropic Maxwell's equations via boundary feedback on split boundary
by: Skrepek, Nathanael, et al.
Published: (2023)