Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
840910 | Nonlinear Analysis: Theory, Methods & Applications | 2011 | 7 Pages |
Abstract
We present a new upper bound of the life span of positive solutions of a semilinear heat equation for initial data having positive limit inferior at space infinity. The upper bound is expressed by the data in limit inferior, not in every direction, but around a specific direction. It is also shown that the minimal time blow-up occurs when initial data attains its maximum at space infinity.
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Authors
Yusuke Yamauchi,