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 H ( 0 ,ω ) = 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...

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...