A remark on regularization in Hilbert spaces

Lasry, Jean-Michel; Lions, Pierre-Louis

Lasry, Jean-Michel; Lions, Pierre-Louis (1986), A remark on regularization in Hilbert spaces, Israel Journal of Mathematics, 55, 3, p. 257-266. http://dx.doi.org/10.1007/BF02765025

Type

Article accepté pour publication ou publié

Date

1986

Journal name

Israel Journal of Mathematics

Volume

Number

Publisher

Springer

Pages

257-266

Abstract (EN)

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

Subjects / Keywords

Hilbert spaces