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Radially symmetric global classical solutions of non-linear wave equations (1993)

Pecher, Hartmut

Chichester, West Sussex : Wiley-Blackwell

Mathematical Methods in the Applied Sciences 16 (1993), S. 131-149

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ISSN: 0170-4214

Keywords: Mathematics and Statistics ; Applied Mathematics

Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Mathematics

Notes: The Cauchy problem for semilinear wave equations utt - Δu + h(|x|)up = 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.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1002/mma.1670160206

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