Low regularity well-posedness for the 2D Maxwell-Klein-Gordon equation in the Coulomb gauge

DOI10.3934/cpaa.2014.13.1669zbMath1286.35004arXiv1308.6532OpenAlexW2962970179MaRDI QIDQ2438977

Nina Pikula, Magdalena Czubak

Publication date: 7 March 2014

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1308.6532

zbMATH Keywords

local well-posednessnull forms

Mathematics Subject Classification ID

Second-order nonlinear hyperbolic equations (35L70) Second-order elliptic equations (35J15) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Maxwell equations (35Q61) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (4)

Low regularity solutions for the \((2+1)\)-dimensional Maxwell-Klein-Gordon equations in temporal gauge ⋮ Local well-posedness for low regularity data for the higher dimensional Maxwell-Klein-Gordon system in Lorenz gauge ⋮ Almost optimal local well-posedness for the Maxwell-Klein-Gordon system with data in Fourier-Lebesgue spaces ⋮ Improved well-posedness results for the Maxwell-Klein-Gordon system in 2D

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