• Corpus ID: 247594808

Norm inflation for the Zakharov system

@inproceedings{Grube2022NormIF,
  title={Norm inflation for the Zakharov system},
  author={Florian Grube},
  year={2022}
}
. We prove norm inflation in new regions of Sobolev regularities for the scalar Zakharov system in the spatial domain R d for arbitrary d ∈ N . To this end, we apply abstract considerations of Bejenaru and Tao from [4] and modify arguments of Iwabuchi and Ogawa [16]. This proves several results on well-posedness, which includes existence of solutions, uniqueness and continuous dependence on the initial data, to be sharp up to endpoints. 

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References

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  • Mathematics
    Communications on Pure & Applied Analysis
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