English

Existence, uniqueness and global behavior of the solutions to some nonlinear vector equations in a finite dimensional Hilbert space

Classical Analysis and ODEs 2016-12-09 v2 Dynamical Systems

Abstract

The initial value problem and global properties of solutions are studied for the vector equation: (ulu)+A12uβAu+g(u)=0\Big(\|u'\|^{l}u'\Big)'+\|A^{\frac{1}{2}}u\|^\beta Au+g(u')=0 in a finite dimensional Hilbert space under suitable assumptions on gg.

Keywords

Cite

@article{arxiv.1512.06537,
  title  = {Existence, uniqueness and global behavior of the solutions to some nonlinear vector equations in a finite dimensional Hilbert space},
  author = {Mama Abdelli and María Anguiano and Alain Haraux},
  journal= {arXiv preprint arXiv:1512.06537},
  year   = {2016}
}