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A blow-up result for Kirchhoff-type equations with high energy

✍ Scribed by Rong Zeng; Chunlai Mu; Shouming Zhou

Publisher: John Wiley and Sons
Year: 2010
Tongue: English
Weight: 131 KB
Volume: 34
Category: Article
ISSN: 0170-4214
DOI: 10.1002/mma.1374

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✦ Synopsis

In this paper, we consider the following Kirchhoff type equation:

with initial condition and zero Dirichlet boundary condition. We established sufficient conditions on the initial data with arbitrarily high energy such that the solution blows up in finite time. This result generalizes and improves the earlier results in the literature.

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