Remarks on Fourier multipliers and applications to the Wave equation

Elena Cordero; Fabio Nicola

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arXiv · 0802.2801

Remarks on Fourier multipliers and applications to the Wave equation

Elena Cordero·Fabio Nicola

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Abstract

Exploiting continuity properties of Fourier multipliers on modulation spaces and Wiener amalgam spaces, we study the Cauchy problem for the NLW equation. Local wellposedness for rough data in modulation spaces and Wiener amalgam spaces is shown. The results formulated in the framework of modulation spaces refine those in [3]. The same arguments may apply to obtain local wellposedness for the NLKG equation.

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Elena Cordero, Fabio Nicola. 2008-02-20. Remarks on Fourier multipliers and applications to the Wave equation. https://arxiv.org/abs/0802.2801

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