English

A class of non-analytic functions for the global solvability of Kirchhoff equation

Analysis of PDEs 2014-09-03 v1

Abstract

We consider the global solvability to the Cauchy problem of Kirchhoff equation with generalized classes of Manfrin's class. Manfrin's class is a subclass of Sobolev space, but we shall extend this class as a subclass of the ultradifferentiable class, and we succeed to prove the global solvability of Kirchhoff equation with large data in wider classes from the previous works.

Keywords

Cite

@article{arxiv.1409.0623,
  title  = {A class of non-analytic functions for the global solvability of Kirchhoff equation},
  author = {Fumihiko Hirosawa},
  journal= {arXiv preprint arXiv:1409.0623},
  year   = {2014}
}