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

✍ Scribed by B. Scarpellini

• Publisher: John Wiley and Sons
• Year: 1993
• Tongue: English
• Weight: 950 KB
• Volume: 16
• Category: Article
• ISSN: 0170-4214
• DOI: 10.1002/mma.1670160504

✦ Synopsis

Abstract

We investigate the radially symmetric, nonlinear wave equation
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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.