# 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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