Cauchy problem and quasi-stationary limit for the Maxwell-Landau-Lifschitz and Maxwell-Bloch equations

DOI10.2422/2036-2145.201006_004zbMath1258.35191arXiv1006.3642OpenAlexW2950376702MaRDI QIDQ4908803

Eric Dumas, Franck Sueur

Publication date: 7 March 2013

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.3642

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Electromagnetic theory (general) (78A25) Initial value problems for first-order hyperbolic systems (35L45)

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Global Strichartz estimates for an inhomogeneous Maxwell system ⋮ Strichartz estimates for Maxwell equations in media: the structured case in two dimensions ⋮ Local wellposedness of nonlinear Maxwell equations with perfectly conducting boundary conditions ⋮ A nonlinear Bloch model for Coulomb interaction in quantum dots ⋮ On quasilinear Maxwell equations in two dimensions

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