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arXiv:1701.03232 [math.AP]AbstractReferencesReviewsResources

Blow-up for semilinear wave equations with the scale invariant damping and super Fujita exponent

Ning-An Lai, Hiroyuki Takamura, Kyouhei Wakasa

Published 2017-01-12Version 1

The constant in the scale invariant damping may have a critical value classifying the situation on semilinear wave equations to "heat-like", or to "wave-like". In this paper, we prove a new blow-up result for super Fujita exponent to show that such a critical value has a lower bound which grows up by space dimensions.

Comments: 17 pages
Categories: math.AP
Subjects: 35L71, 35B44
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