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Sharp constants for the l°°-norm on the torus and applications to dissipative partial differential equations

Bartuccelli, MV (2014) Sharp constants for the l°°-norm on the torus and applications to dissipative partial differential equations Differential and Integral Equations, 27 (1-2). pp. 59-80.

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Abstract

Sharp estimates are obtained for the constants appearing in the Sobolev embedding theorem for the L°° norm on the d-dimensioned torus for d = 1,2,3. The sharp constants are expressed in terms of the Riemann zeta-function, the Dirichlet beta-series and various lattice sums. We then provide some applications including the two dimensional Navier-Stokes equations.

Item Type: Article
Authors :
NameEmailORCID
Bartuccelli, MVUNSPECIFIEDUNSPECIFIED
Date : January 2014
Depositing User : Symplectic Elements
Date Deposited : 28 Mar 2017 10:50
Last Modified : 31 Oct 2017 17:11
URI: http://epubs.surrey.ac.uk/id/eprint/806722

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