Life span of solutions for a semilinear heat equation with initial data having positive limit inferior at infinity |
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Authors: | Yusuke Yamauchi |
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Institution: | Department of Applied Physics, Waseda University, 3-4-1 Okubo, Shinjuku-ku, Tokyo 169-8555, Japan |
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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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Keywords: | 35K05 35K57 35K58 35B44 |
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