Scattering for the magnetic Zakharov system in 3 dimensions

We consider the global existence and scattering for solutions of magnetic Zakharov system in three-dimensional space. When the initial data is small, we prove the existence of smooth global solutions and scattering results, by combining the space--time resonance method, weighted Sobolev space and di...

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Hauptverfasser: Wang, Xiaohong, Han, Lijia
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Sprache:eng
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Zusammenfassung:We consider the global existence and scattering for solutions of magnetic Zakharov system in three-dimensional space. When the initial data is small, we prove the existence of smooth global solutions and scattering results, by combining the space--time resonance method, weighted Sobolev space and dispersive estimates. Moreover, the decay rates for the solutions are also obtained.
DOI:10.48550/arxiv.2402.10463