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- W4387553557 abstract "Non-radiative solutions of energy critical wave equations are such that their energy in an exterior region |x|>R+|t| vanishes asymptotically in both time directions. This notion, introduced by [7], has been key in solving the soliton resolution conjecture for these equations in the radial case. In the present paper, we first classify their asymptotic behaviour at infinity, showing that they correspond to a k-parameters family of solutions where k depends on the dimension. This generalises the previous results [8], [6] in three and four dimensions. We then establish a unique maximal extension of these solutions." @default.
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- W4387553557 date "2023-12-01" @default.
- W4387553557 modified "2023-10-18" @default.
- W4387553557 title "On classification of non-radiative solutions for various energy-critical wave equations" @default.
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- W4387553557 doi "https://doi.org/10.1016/j.aim.2023.109337" @default.
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