2021/08/30 by Hartmut Pecher, Pecher, Hartmut
Engineering · Mathematics · Physics and Astronomy · #35L70 #35Q40 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Banach space #Black Holes and Theoretical Physics #FOS: Mathematics #Fourier transform #Gauge (firearms) #Geometry #Higgs boson #Lp space #Mathematical analysis #Mathematical physics #Mathematics #Navier-Stokes equation solutions #Physics #Pure mathematics #Quantum mechanics #Scaling #Stability and Controllability of Differential Equations #math.AP #msc:35L70 #msc:35Q40
paper · pdf · doi:10.48550/arxiv.2108.13279
published in arXiv (Cornell University) (Cornell University) · 13 pages. Assumption $s,l,m \ge 1$ in Theorem 1.1 added. arXiv admin note: text overlap with arXiv:2010.06170, arXiv:2012.14239, arXiv:1411.1207, arXiv:1911.05537
openalex publication_date 2021/08/30 · arxiv created 2021/12/22 · arxiv updated 2021/12/23 · openalex created_date 2023/02/13 · openalex updated_date 2026/08/05
We consider local well-posedness for the Maxwell-Chern-Simons-Higgs system in\nLorenz gauge for data with minimal regularity assumptions in Fourier-Lebesgue\nspaces widehatHs,r , where \‖u\‖_ widehatHs,r := \‖ \⟨ \ξ\n\⟩s widehatu(\ξ)\‖Lr' , and r and r' are dual exponents.\nWe show that the gap between this regularity and the regularity with respect to\nscaling shrinks in the case r>1 , r \→ 1 compared to the classical case\nr=2 .\n