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- W4311897468 abstract "In this paper we consider global and non-global radial solutions of the focusing energy--critical wave equation on $mathbb{R} times mathbb{R}^N$ where $N geq 5$ is odd. We prove that if the solution remains bounded in the energy space as you approach the maximal forward time of existence, then along a sequence of times converging to the maximal forward time of existence, the solution decouples into a sum of dynamically rescaled solitons, a free radiation term, and an error tending to zero in the energy space. If, in addition, we assume a bound on the evolution that rules out formation of multiple solitons, then this decoupling holds for all times approaching the maximal forward time of existence." @default.
- W4311897468 created "2023-01-02" @default.
- W4311897468 creator A5007539685 @default.
- W4311897468 date "2014-12-03" @default.
- W4311897468 modified "2023-09-23" @default.
- W4311897468 title "Profiles for the radial focusing energy-critical wave equation in odd dimensions" @default.
- W4311897468 doi "https://doi.org/10.48550/arxiv.1412.1388" @default.
- W4311897468 hasPublicationYear "2014" @default.
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