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- W4281567196 abstract "We consider the Zakharov system in the energy critical dimension $d=4$ with energy below the ground state. It is known that below the ground state solutions exist globally in time, and scatter in the radial case. Scattering below the ground state in the non-radial case is an open question. We show that if scattering fails, then there exists a minimal energy non-scattering solution below the ground state. Moreover the orbit of this solution is precompact modulo translations. The proof follows by a concentration compactness argument, together with a refined small data theory for energy dispersed solutions." @default.
- W4281567196 created "2022-05-27" @default.
- W4281567196 creator A5002592779 @default.
- W4281567196 date "2022-05-18" @default.
- W4281567196 modified "2023-09-24" @default.
- W4281567196 title "Minimal non-scattering solutions for the Zakharov system" @default.
- W4281567196 doi "https://doi.org/10.48550/arxiv.2205.08867" @default.
- W4281567196 hasPublicationYear "2022" @default.
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