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math.APSep 19, 2016
39
citations (OpenAlex)
authors
  • Kazumasa Fujiwara
  • Vladimir Georgiev
  • Tohru Ozawa
institutions
  • University of Pisa
  • Waseda University
arXiv abstractPDF
paper

Higher order fractional Leibniz rule

arXiv:1609.05739 · doi:10.1007/s00041-017-9541-y

Abstract

The fractional Leibniz rule is generalized by the Coifman-Meyer estimate. It is shown that the arbitrary redistribution of fractional derivatives for higher order with the corresponding correction terms.

References in corpus (1)

  • A remark on an endpoint Kato-Ponce inequality

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  • Local and global existence for the Ericksen-Leslie problem in unbounded domains
  • Local well-posedness of Dirac equations with nonlinearity derived from honeycomb structure in 2 dimensions
  • Large Time Behavior and Convergence for the Camassa-Holm Equations with Fractional Laplacian Viscosity
  • Dunkl paraproducts and fractional Leibniz rules for the Dunkl Laplacian
  • The Kato-Ponce Inequality with Polynomial Weights
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