On blow-up for the supercritical defocusing nonlinear wave equation
In this paper, we consider the defocusing nonlinear wave equation $-\partial _t^2u+\Delta u=|u|^{p-1}u$ in $\mathbb {R}\times \mathbb {R}^d$ . Building on our companion work (Self-similar imploding solutions of the relativistic Euler equations, arXiv:2403.11471), we prove that for $...
| Published in: | Forum of Mathematics, Pi |
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| Main Authors: | , , |
| Format: | Article |
| Language: | English |
| Published: |
Cambridge University Press
2025-01-01
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| Subjects: | |
| Online Access: | https://www.cambridge.org/core/product/identifier/S2050508625000071/type/journal_article |