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A global existence theorem for the general coagulation-fragmentation equation with unbounded kernels (1989)

Stewart, I. W. ; Meister, E.

Chichester, West Sussex : Wiley-Blackwell

Mathematical Methods in the Applied Sciences 11 (1989), S. 627-648

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ISSN: 0170-4214

Keywords: Mathematics and Statistics ; Applied Mathematics

Source: Wiley InterScience Backfile Collection 1832-2000

Topics: Mathematics

Notes: In this article an existence theorem is proved for the coagulation-fragmentation equation with unbounded kernel rates. Solutions are shown to be in the space X+ = {c∊L1: ∫0∞ (1 + x)∣c(x)∣dx 〈 ∞} whenever the kernels satisfy certain growth properties and the non-negative initial data belong to X+. The proof is based on weak L1 compactness methods applied to suitably chosen approximating equations.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1002/mma.1670110505

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