English

The Cauchy Problem for the Vibrating Plate Equation in modulation spaces

Analysis of PDEs 2016-06-28 v2

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.

Keywords

Cite

@article{arxiv.1004.3686,
  title  = {The Cauchy Problem for the Vibrating Plate Equation in modulation spaces},
  author = {Elena Cordero and Davide Zucco},
  journal= {arXiv preprint arXiv:1004.3686},
  year   = {2016}
}

Comments

2 figures, some misprints corrected

R2 v1 2026-06-21T15:13:04.223Z