Displaying similar documents to “On the continuity of degenerate n-harmonic functions”

A simple proof of the characterization of functions of low Aviles Giga energy on a ball regularity

Andrew Lorent (2012)

ESAIM: Control, Optimisation and Calculus of Variations

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The Aviles Giga functional is a well known second order functional that forms a model for blistering and in a certain regime liquid crystals, a related functional models thin magnetized films. Given Lipschitz domain  ⊂ ℝ the functional is I ϵ ( u ) = 1 2 Ω ϵ -1 1 Du 2 2 + ϵ D 2 u 2 d z where belongs to the subset of functions in W 0 2 , 2 ( Ω ) whose gradient (in the sense of trace) satisfies ()·  = 1 where is...

On the helix equation

Mohamed Hmissi, Imene Ben Salah, Hajer Taouil (2012)

ESAIM: Proceedings

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This paper is devoted to the helices processes, i.e. the solutions H : ℝ × Ω → ℝ d , (t, ω) ↦ H(t, ω) of the helix equation H ( 0 ) = 0 ; H ( s + t,ω ) = H ( s, Φ ( t,ω ) ) + H ( t,ω ) where Φ : ℝ × Ω → Ω, (t, ω) ↦ Φ(t, ω) is a dynamical...

Limit theorems for measure-valued processes of the level-exceedance type

Andriy Yurachkivsky (2012)

ESAIM: Probability and Statistics

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Let, for each , (, ۔) be a random measure on the Borel -algebra in ℝ such that E(, ℝ) < ∞ for all and let ψ ^ (, ۔) be its characteristic function. We call the function ψ ^ ( ,…, ; ,…, ) = 𝖤 j = 1 l ψ ^ ( t j , z j ) of arguments ℕ, , … , , ℝ the of the measure-valued random function (MVRF) (۔, ۔). A...

Stabilité sous condition CFL non linéaire

Erwan Deriaz, Dmitry Kolomenskiy (2012)

ESAIM: Proceedings

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We present a basic althought little known numerical stability condition: for convection equations, the von Neumann stability constraint ∥ ∥ ≤ (1 +    Δ) ∥ ∥ drives to the stability condition Δ ≤ Δ with α = p ( 2 q 1 ) q ( 2 p 1 ) where is an integer linked to the stability domain of the time scheme and  ≥  an integer linked to the upwind property of the space discretization...

On the formal first cocycle equation for iteration groups of type II

Harald Fripertinger, Ludwig Reich (2012)

ESAIM: Proceedings

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Let x be an indeterminate over ℂ. We investigate solutions α ( s , x ) = n 0 α n ( s ) x n , α n  : ℂ → ℂ, n ≥ 0, of the first cocycle equation α ( s + t , x ) = α ( s , x ) α t , F ( s , x ) , s , t , ( Co 1 ) in ℂ [[x]], the ring of formal power series over ℂ, where (F(s,x)) s ∈ ℂ...