The Averaging Lemma (Preprint)

Abstract

Averaging lemmas arise in the study of regularity of solutions to nonlinear transport equations. The present paper shows how techniques from Harmonic Analysis, such as wavelet decompositions, maximal functions, and interpolation, can be used to prove averaging lemmas and to establish their sharpness.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Nov 17, 1999
Accession Number
ADA640745

Entities

People

  • Guergana Petrova
  • Ronald DeVore

Organizations

  • University of South Carolina

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Approximation (Mathematics)
  • Availability
  • Boltzmann Equation
  • Classification
  • Contracts
  • Decomposition
  • Equations
  • Formulas (Mathematics)
  • Harmonic Analysis
  • Information Operations
  • Instructions
  • Interpolation
  • Mathematical Analysis
  • Mathematics
  • Monitoring
  • South Carolina

Readers

  • Computational Fluid Dynamics (CFD)
  • Graph Algorithms and Convex Optimization.