The initial value problem for the cubic nonlinear Klein–Gordon equation

The initial value problem for the cubic nonlinear Klein–Gordon equation

. We study the initial value problem for the cubic nonlinear Klein–Gordon equation where μ ∈ R and the initial data are real-valued functions. We obtain a sharp asymptotic behavior of small solutions without the condition of a compact support on the initial data which was assumed in the previous wor...

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Veröffentlicht in:Zeitschrift für angewandte Mathematik und Physik 2008-11, Vol.59 (6), p.1002-1028
Hauptverfasser: Hayashi, Nakao, Naumkin, Pavel I.
Format: Artikel
Sprache:eng
Schlagworte:
Engineering
Mathematical Methods in Physics
Theoretical and Applied Mechanics
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Zusammenfassung:. We study the initial value problem for the cubic nonlinear Klein–Gordon equation where μ ∈ R and the initial data are real-valued functions. We obtain a sharp asymptotic behavior of small solutions without the condition of a compact support on the initial data which was assumed in the previous works.
ISSN:0044-2275
1420-9039
DOI:10.1007/s00033-007-7008-8