Blow-up of solutions of nonlinear wave equations in three space dimensions
Solutions u(x, t) of the inequality □u ≥ A|u|(p) for x ε R(3), t ≥ 0 are considered, where □ is the d'Alembertian, and A,p are constants with A > 0, 1 < p < 1 + √2. It is shown that the support of u is compact and contained in the cone 0 ≤ t ≤ t(0) -|x - x(0)|, if the “initial data” u(x, 0), u(t)(x,...
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| Udgivet i: | Proc Natl Acad Sci U S A |
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| Hovedforfatter: | |
| Format: | Artigo |
| Sprog: | Inglês |
| Udgivet: |
National Academy of Sciences
1979
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| Fag: | |
| Online adgang: | https://ncbi.nlm.nih.govhttps://pmc.ncbi.nlm.nih.gov/articles/PMC383428/ https://ncbi.nlm.nih.govhttps://pubmed.ncbi.nlm.nih.gov/16592639/ https://ncbi.nlm.nih.govhttps://doi.org/10.1073/pnas.76.4.1559 |
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