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- W2963216907 abstract "Consider a bounded solution of the focusing, energy-critical wave equation that does not scatter to a linear solution. We prove that this solution converges in some weak sense, along a sequence of times and up to scaling and space translation, to a sum of solitary waves. This result is a consequence of a new general compactness/rigidity argument based on profile decomposition. We also give an application of this method to the energy-critical Schrödinger equation." @default.
- W2963216907 created "2019-07-30" @default.
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- W2963216907 date "2015-01-01" @default.
- W2963216907 modified "2023-10-17" @default.
- W2963216907 title "Profiles for bounded solutions of dispersive equations, with applications to energy-critical wave and Schrödinger equations" @default.
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- W2963216907 doi "https://doi.org/10.3934/cpaa.2015.14.1275" @default.
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