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Radially symmetric global classical solutions of non-linear wave equations

✍ Scribed by Hartmut Pecher

Publisher
John Wiley and Sons
Year
1993
Tongue
English
Weight
570 KB
Volume
16
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

The Cauchy problem for semilinear wave equations u~tt~ − Δ__u__ + h(|x|)u^p^ = 0 with radially symmetric smooth ‘large’ data has a unique global classical solution in arbitrary space dimensions if h is non‐negative and p any odd integer provided the smooth factor h vanishes with sufficiently high order at the origin and is bounded together with its derivatives.

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