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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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. |
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DOI: | 10.48550/arxiv.2402.10463 |