Trace de H(curl)

Abstract

In this thesis, we leverage Maxwell’s equations to underscore the necessity of incorporating both the normal and tangential traces. The tangential traces of H(curl,Ω) is delineated through the application of Green formula to specific functions. The research delves into diverse formulations of 𝐻􀬿􀬵 􀵗􀬶 (𝑑𝑖𝑣, 𝛤) along Lipschitz boundary value quandaries and the properties of trace within H(curl,Ω) across Lipschitz and regular domains. These investigations offer valuable insights into the examination of electromagnetic phenomena and the intricacies of Maxwell’s equations through the lens of functional analysis