Israel Journal of Mathematics

, Volume 55, Issue 3, pp 257–266

A remark on regularization in Hilbert spaces

  • J. M. Lasry
  • P. L. Lions

DOI: 10.1007/BF02765025

Cite this article as:
Lasry, J.M. & Lions, P.L. Israel J. Math. (1986) 55: 257. doi:10.1007/BF02765025


We present here a simple method to approximate uniformly in Hilbert spaces uniformly continuous functions byC1,1 functions. This method relies on explicit inf-sup-convolution formulas or equivalently on the solutions of Hamilton-Jacobi equations.

Copyright information

© Hebrew University 1986

Authors and Affiliations

  • J. M. Lasry
    • 1
  • P. L. Lions
    • 1
  1. 1.CeremadeUniversité Paris - DauphineParis Cedex 16France

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