Global regularity for the Maxwell-Klein-Gordon equation with small critical Sobolev norm in high dimensions

DOI10.1007/s00220-004-1152-1zbMath1106.35073arXivmath/0309353OpenAlexW2009450623MaRDI QIDQ852124

Igor Rodnianski, Terence C. Tao

Publication date: 27 November 2006

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0309353

zbMATH Keywords

parametrixStrichartz estimatescovariant wave equationLittlewood-Paley multipliers

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Yang-Mills and other gauge theories in quantum field theory (81T13) PDEs in connection with quantum mechanics (35Q40) Initial value problems for second-order hyperbolic equations (35L15)

Related Items (27)

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Cites Work

• Global well-posedness of the Maxwell-Klein-Gordon equation below the energy norm
• Sharp local well-posedness results for the nonlinear wave equation
• The global existence of Yang-Mills-Higgs fields in 4-dimensional Minkowski space. I. Local existence and smoothness properties
• On the Maxwell-Klein-Gordon equation with finite energy
• On the well-posedness of the wave map problem in high dimensions
• Endpoint Strichartz estimates
• On the optimal local regularity for the Yang-Mills equations in ℝ⁴⁺¹
• On the local existence for the maxwell-klein-gordon system in R³⁺¹
• Almost optimal local well-posedness for the (3+1)-dimensional Maxwell–Klein–Gordon equations
• Rough solutions for the wave maps equation
• Equations d'ondes quasilineaires et estimations de Strichartz
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