HODGE DECOMPOSITIONS ON THE BOUNDARY OF NONSMOOTH DOMAINS: THE MULTI-CONNECTED CASE
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Publication:4798921
DOI10.1142/S0218202501001434zbMath1014.58002OpenAlexW1966024196MaRDI QIDQ4798921
Publication date: 16 March 2003
Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1142/s0218202501001434
PDEs in connection with optics and electromagnetic theory (35Q60) Navier-Stokes equations (35Q30) Hodge theory in global analysis (58A14)
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Cites Work
- Unnamed Item
- On traces for functional spaces related to Maxwell's equations Part I: An integration by parts formula in Lipschitz polyhedra
- Problèmes mixtes pour le système de Maxwell
- A remark on the regularity of solutions of Maxwell's equations on Lipschitz domains
- Magnetostatic and Electrostatic Problems in Inhomogeneous Anisotropic Media with Irregular Boundary and Mixed Boundary Conditions
- Vector potentials in three-dimensional non-smooth domains
- Low Frequency Behavior of Solutions to Electromagnetic Scattering Problems in Chiral Media