Mathematics – Analysis of PDEs
Scientific paper
2008-02-20
Mathematics
Analysis of PDEs
13 pages
Scientific paper
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.
Cordero Elena
Nicola Fabio
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