The Cauchy Problem for the Vibrating Plate Equation in modulation spaces

Details The Cauchy Problem for the Vibrating Plate Equation in modulation spaces The Cauchy Problem for the Vibrating Plate Equation in modulation spaces

2010-04-21

arxiv.org/abs/1004.3686v2

Mathematics

Analysis of PDEs

2 figures, some misprints corrected

Scientific paper

The local solvability of the Cauchy problem for the nonlinear vibrating plate
equation is showed in the framework of modulation spaces. In the opposite
direction, it is proved that there is no local wellposedness in Wiener amalgam
spaces even for the solution to the homogeneous vibrating plate equation.

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