Displaying similar documents to “Asymptotics and continuity properties near infinity of solutions of Schrödinger equations in exterior domains”

Oscillations of anharmonic Fourier series and the wave equation.

Alain Haraux, Vilmos Komornik (1985)

Revista Matemática Iberoamericana

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In this paper we have collected some partial results on the sign of u(t,x) where u is a (sufficiently regular) solution of ⎧     utt + (-1)m Δmu = 0     (t,x) ∈ R x Ω ⎨ ⎩     u = ... = Δm-1 u = 0     t ∈ R. These results rely on the study of a sign of almost periodic functions of a special...

On the maximum modulus theorem for nonanalytic functions in several complex variables.

Mario O. González Rodríguez (1981)

Revista Matemática Hispanoamericana

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Let w = f(z, ..., z) = u(x, ..., y) + iv(x, ..., y) be a complex function of the n complex variables z, ..., z, defined in some open set A ⊂ C. The purpose of this note is to prove a maximum modulus theorem for a class of these functions, assuming neither the continuity of the first partial derivatives of u and v with respect to x and y, nor the conditions f = 0 in A for k = 1, 2, ..., n (the Cauchy-Riemann equations in complex form).

On mean central limit theorems for stationary sequences

Jérôme Dedecker, Emmanuel Rio (2008)

Annales de l'I.H.P. Probabilités et statistiques

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In this paper, we give estimates of the minimal 𝕃 1 distance between the distribution of the normalized partial sum and the limiting gaussian distribution for stationary sequences satisfying projective criteria in the style of Gordin or weak dependence conditions.