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A global existence theorem for the general coagulation–fragmentation equation with unbounded kernels

✍ Scribed by I. W. Stewart; E. Meister

Publisher
John Wiley and Sons
Year
1989
Tongue
English
Weight
830 KB
Volume
11
Category
Article
ISSN
0170-4214

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✦ Synopsis

Communicated by E. Meister

In this article an existence. theorem is proved for the coagulation-fragmentation equation with unbounded kernelratesSolutionsareshown tobeinthespace.X+ = {ceL':S,"(l +x)lc(x)ldx < co} wheneverthe kernels satisfy certain growth propertics and the non-negative initial data belong to X . The proof is based on weak L' compactness methods applied to suitably chosen approximating equations.

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