The Cauchy Problem for the Vibrating Plate Equation in modulation spaces

preprint2011arXivOpen access

Abstract

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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