A necessary condition for twin boundary layer behavior
Frederick A. Howes (1980)
Czechoslovak Mathematical Journal
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Frederick A. Howes (1980)
Czechoslovak Mathematical Journal
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Patrick Martinez (1999)
ESAIM: Control, Optimisation and Calculus of Variations
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Axel Grünrock, Mahendra Panthee, Jorge Drumond Silva (2009)
Annales de l'I.H.P. Analyse non linéaire
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Maria Topolewska (1995)
Mathematica Bohemica
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For real functions of bounded variation in the Hardy sense, -periodic in each variable, the rates of pointwise convergence of the Borel and Euler means of their Fourier series are estimated.
Reissig, M. (2003)
Rendiconti del Seminario Matematico
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Michael Beals, Walter Strauss (1991)
Journées équations aux dérivées partielles
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Catalano, Fabio (1999)
Serdica Mathematical Journal
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∗The author was partially supported by M.U.R.S.T. Progr. Nazionale “Problemi Non Lineari...” In this work we analyse the nonlinear Cauchy problem (∂tt − ∆)u(t, x) = ( λg + O(1/(1 + t + |x|)^a) ) ) ∇t,x u(t, x), ∇t,x u(t, x) ), whit initial data u(0, x) = e u0 (x), ut (0, x) = e u1 (x). We assume a ≥ 1, x ∈ R^n (n ≥ 3) and g the matrix related to the Minkowski space. It can be considerated a pertubation of the case when the quadratic term has constant coefficient...