Besov and Triebel-Lizorkin regularity for the Hodge decomposition and applications to magnetic potentials
From MaRDI portal
Publication:323833
DOI10.1016/j.jmaa.2016.07.070zbMath1351.58002OpenAlexW2479524701MaRDI QIDQ323833
Ma.de los Á. Sandoval-Romero, Francisco Torres-Ayala, Lars Menrath, Miguel Ballesteros
Publication date: 10 October 2016
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2016.07.070
Applications of global analysis to the sciences (58Z05) Inverse scattering problems in quantum theory (81U40) Differential forms in global analysis (58A10) Electromagnetic theory (general) (78A25)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Aharonov-Bohm effect and high-momenta inverse scattering for the Klein-Gordon equation
- Gauge equivalence and inverse scattering for long-range magnetic potentials
- Aharonov-Bohm effect and high-velocity estimates of solutions to the Schrödinger equation
- High-velocity estimates for the scattering operator and Aharonov-Bohm effect in three dimensions
- The local and global parts of the basic zeta coefficient for operators on manifolds with boundary
- Sharp Hodge decompositions in two and three dimensional Lipschitz domains
- Sharp Hodge decompositions, Maxwell's equations, and vector Poisson problems on nonsmooth, three-dimensional Riemannian manifolds
- Hodge decomposition. A method for solving boundary value problems
- Quaternionic analysis and elliptic boundary value problems
- Functional calculus of pseudodifferential boundary problems.
- Boundary problems for pseudo-differential operators
- Harmonic fields in Riemannian manifolds (Generalized potential theory)
- Harmonic tensors on Riemannian manifolds with boundary
- An inverse scattering problem with the Aharonov–Bohm effect
- Geometrical approach to inverse scattering for the Dirac equation
- Gauge Equivalence and Inverse Scattering for Aharonov–Bohm Effect
- High-momenta estimates for the Klein−Gordon equation: long-range magnetic potentials and time-dependent inverse scattering
- Pseudo-differential boundary problems in Lp, spaces
- Differential forms on riemannian manifolds
- The Aharonov–Bohm effect and Tonomura et al. experiments: Rigorous results
- Geometric approach to inverse scattering for the Schrödinger equation with magnetic and electric potentials
- Elliptic Boundary Problems and the Boutet de Monvel Calculus in Besov and Triebel-Lizorkin Spaces.
- On the application of the Helmholtz-Hodge decomposition in projection methods for incompressible flows with general boundary conditions
- On the mathematical theory of the Aharonov$ndash$Bohm effect
- Asymptotic behaviour of the div-curl problem in exterior domains
This page was built for publication: Besov and Triebel-Lizorkin regularity for the Hodge decomposition and applications to magnetic potentials
