Oscillations of anharmonic Fourier series and the wave equation.

Haraux, 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 -