Nonexistence of global solutions of □u = F(u(tt)) and of □v = F′(v(t))v(tt) in three space dimensions
The symbol □ denotes the operator ∂(2)/∂(2) - Δ in three space dimensions, and F denotes a function with F(0) = F′(0) = 0, inf F″ > 0. It is shown that u(x,t) ≡ 0, if □u = F(u(tt)) for x∈ R(3), t ≥ 0, provided u,u(t),u(tt) for t = 0 have compact support. Similarly v(x,t) ≡ 0 if □v = F′(v(t))v(tt) fo...
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| Pubblicato in: | Proc Natl Acad Sci U S A |
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| Autore principale: | |
| Natura: | Artigo |
| Lingua: | Inglês |
| Pubblicazione: |
National Academy of Sciences
1980
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| Accesso online: | https://ncbi.nlm.nih.govhttps://pmc.ncbi.nlm.nih.gov/articles/PMC348584/ https://ncbi.nlm.nih.govhttps://pubmed.ncbi.nlm.nih.gov/16592798/ https://ncbi.nlm.nih.govhttps://doi.org/10.1073/pnas.77.4.1759 |
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