# Oscillations of anharmonic Fourier series and the wave equation.

Revista Matemática Iberoamericana (1985)

- Volume: 1, Issue: 4, page 57-77
- ISSN: 0213-2230

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topHaraux, Alain, and Komornik, Vilmos. "Oscillations of anharmonic Fourier series and the wave equation.." Revista Matemática Iberoamericana 1.4 (1985): 57-77. <http://eudml.org/doc/39830>.

@article{Haraux1985,

abstract = {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|Γ = ... = Δm-1 u|Γ = 0 t ∈ R.These results rely on the study of a sign of almost periodic functions of a special form restricted to a bounded interval J.},

author = {Haraux, Alain, Komornik, Vilmos},

journal = {Revista Matemática Iberoamericana},

keywords = {Series de Fourier; Ecuación de onda; Oscilador anarmónico; Ecuaciones en derivadas parciales no lineales; Evolución no lineal; anharmonic Fourier series; oscillation; wave equation; regular solution; almost periodic functions},

language = {eng},

number = {4},

pages = {57-77},

title = {Oscillations of anharmonic Fourier series and the wave equation.},

url = {http://eudml.org/doc/39830},

volume = {1},

year = {1985},

}

TY - JOUR

AU - Haraux, Alain

AU - Komornik, Vilmos

TI - Oscillations of anharmonic Fourier series and the wave equation.

JO - Revista Matemática Iberoamericana

PY - 1985

VL - 1

IS - 4

SP - 57

EP - 77

AB - 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|Γ = ... = Δm-1 u|Γ = 0 t ∈ R.These results rely on the study of a sign of almost periodic functions of a special form restricted to a bounded interval J.

LA - eng

KW - Series de Fourier; Ecuación de onda; Oscilador anarmónico; Ecuaciones en derivadas parciales no lineales; Evolución no lineal; anharmonic Fourier series; oscillation; wave equation; regular solution; almost periodic functions

UR - http://eudml.org/doc/39830

ER -

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