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

作者：Hirosawa Fumihiko^*

来源：Nonlinear Analysis-Theory Methods & Applications, 2015, 116: 37-63.

DOI：10.1016/j.na.2014.12.016

• Kirchhoff equation
• Global solvability
• Ultradifferentiable class
• Manfrin's class

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.

• 出版日期2015-4