The critical Fujita number for a semilinear heat equation in exterior domains with homogeneous Neumann boundary values

H. A. Levine, Q. S. Zhang

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Source: Crossref

Published: Jun 1, 2000

DOI: 10.1017/s0308210500000317

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Source abstract

Let D be a domain in R n with bounded complement and let n ≠ 2. For the initial-boundary value problem we prove that there are no non-trivial global (non-negative) solutions if 0 < n ( p − 1) ≤ 2 and there exist both global non-trivial and non-global solutions if n ( p − 1) > 2.

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