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

Andrew Lorent

Displaying similar documents to “A simple proof of the characterization of functions of low Aviles Giga energy on a ball via regularity ”

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 $\begin{matrix} H (0,ω) = 0; H (s + t,ω) = H (s, Φ (t,ω)) + H (t,ω) \end{matrix}$ where Φ : ℝ × Ω → Ω, (t, ω) ↦ Φ(t, ω) is a dynamical...

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 $\begin{matrix} α (s, x) = \sum_{n \geq 0} α_{n} (s) x^{n}, \end{matrix}$ α _n : ℂ → ℂ, n ≥ 0, of the first cocycle equation $\begin{matrix} α (s + t, x) = α (s, x) α (t, F (s, x)), s, t \in, (Co 1) \end{matrix}$ in ℂ [[x]], the ring of formal power series over ℂ, where (F(s,x))_{s ∈ ℂ...}

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 $\hat{ψ}$ (, ۔) be its characteristic function. We call the function $\hat{ψ}$ ( ,…, ; ,…, ) = $𝖤 \prod_{j = 1}^{l} \hat{ψ} (t_{j}, z_{j})$ of arguments ℕ, , … , , ℝ the of the measure-valued random function (MVRF) (۔, ۔). A...