Displaying similar documents to “Estimations of the best constant involving the L ∞ norm in Wente’s inequality”

Global calibrations for the non-homogeneous Mumford-Shah functional

Massimiliano Morini (2002)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Using a calibration method we prove that, if Γ ⊂ Ω is a closed regular hypersurface and if the function g is discontinuous along Γ and regular outside, then the function u β which solves Δ u β = β ( u β - g ) in Ω ∖ Γ ∂ ν u β = 0 on ∂ Ω ∪ Γ is in turn discontinuous along Γ and it is the unique absolute minimizer of the non-homogeneous Mumford-Shah functional ∫ Ω ∖ S u | ∇ u | 2 d x + ℋ n - 1 ( S u ) + β ∫ Ω ∖ S u ( u - g ) 2 d x , over S B V ( Ω ) , for β large enough. Applications of the result to the study of the gradient flow by the method of minimizing movements are shown. ...

Remarks on the equatorial shallow water system

Chloé Mullaert (2010)

Annales de la faculté des sciences de Toulouse Mathématiques

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This article recalls the results given by A. Dutrifoy, A. Majda and S. Schochet in [1] in which they prove an uniform estimate of the system as well as the convergence to a global solution of the long wave equations as the Froud number tends to zero. Then, we will prove the convergence with weaker hypothesis and show that the life span of the solutions tends to infinity as the Froud number tends to zero.

Padua and Pisa are exponentially far apart.

Benjamin M. M. De Weger (1997)

Publicacions Matemàtiques

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We answer the question posed by Ian Stewart which Padovan numbers are at the same time Fibonacci numbers. We give a result on the difference between Padovan and Fibonacci numbers, and on the growth of Padovan numbers with negative indices.