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Blow-up for a class of semilinear integro-differential equations of parabolic type

✍ Scribed by Daisuke Hirata

Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
121 KB
Volume
22
Category
Article
ISSN
0170-4214

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✦ Synopsis

In this paper, we study the following semilinear integro-di!erential equation of the parabolic type that arise in the theory of nuclear reactor kinetics:

under homogeneous Dirichlet boundary condition, where p, q*1. We "rst establish the local solvability of a large class of semilinear non-local equations including the above equation. Next, we give the "nite time blow-up result by some modi"cation of Kaplan's method and also the existence of global solutions by the comparison method.

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