Decay properties of periodic, radially symmetric solutions of Sine-Gordon-type equations

Decay properties of periodic, radially symmetric solutions of Sine-Gordon-type equations

We investigate the radially symmetric, nonlinear wave equation and discuss the asymptotic behaviour as r → ∞ of solutions which are T‐periodic in time t. It is shown that only two possibilities of decay can arise, namely polynomial like t−½(n−1) and exponential e−bt for some b > 0. Existence resu...

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Veröffentlicht in:Mathematical methods in the applied sciences 1993-05, Vol.16 (5), p.359-378
1. Verfasser: Scarpellini, B.
Format: Artikel
Sprache:eng
Schlagworte:
Exact sciences and technology
Mathematical analysis
Mathematics
Partial differential equations
Sciences and techniques of general use
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Zusammenfassung:We investigate the radially symmetric, nonlinear wave equation and discuss the asymptotic behaviour as r → ∞ of solutions which are T‐periodic in time t. It is shown that only two possibilities of decay can arise, namely polynomial like t−½(n−1) and exponential e−bt for some b > 0. Existence results are obtained.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.1670160504