Smoothing estimates for null forms and applications

1995/01/01 by S. Klainerman, Sergiù Klainerman, Matei Machedon +1 · 184 citations
Mathematics · #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Algorithm #Applied mathematics #Computer science #Data mining #Econometrics #Mathematical Analysis and Transform Methods #Mathematics #Null (SQL) #Smoothing #Statistics

paper · doi:10.1215/s0012-7094-95-08109-5

published in Duke Mathematical Journal 81(1) (Duke University Press)

openalex publication_date 1995/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/25

Citations

• Space‐time estimates for null forms and the local existence theorem

Cited by

• Global finite energy solutions of the Maxwell-scalar field system on the Einstein cylinder
• On the regularity properties of a model problem related to wave maps
• On the well-posedness of the wave map problem in high dimensions
• Low regularity solutions to the Chern-Simons-Dirac and the Chern-Simons-Higgs equations in the Lorenz gauge
• Null structure and almost optimal local well-posedness of the Dirac-Klein-Gordon system
• Universality of blow up profile for small blow up solutions to the energy critical wave map equation
• Global well-posedness and I-method for the fifth-order Korteweg-de Vries equation
• Uniqueness of two-bubble wave maps
• On the asymptotic analysis of the Dirac-Maxwell system in the nonrelativistic limit
• Recovery of a Null Form in the Wave Equation from Scattering Data
• Weighted fractional chain rule and nonlinear wave equations with minimal regularity
• Global behaviour of nonlinear dispersive and wave equations
• Some sharp bilinear space-time estimates for the wave equation
• Regularity of Wave-Maps in Dimension 2 + 1
• Global Regularity of Wave Maps¶II. Small Energy in Two Dimensions