We consider the Cauchy problem for the Kadomtsev-Petviashvili equations. We prove that the maximal existence time T is estimated from below as T ≥exp(C/ε), where ε denotes the size of the initial data, C > 0 is a constant.
- Almost global existence
- Kadomtsev-petviashvili equations
ASJC Scopus subject areas
- Algebra and Number Theory
- Geometry and Topology