English

On convergence in smooth gradient systems with branching of equilibria

Analysis of PDEs 2009-02-03 v1

Abstract

T.I. Zelenyak's ideas and method of 1968 are shown to apply to N-dimensional second- and higher-order parabolic equtions and ensure a fast exponential convergence to degenerate equilibria. The methotology applies to autonomous and perturbed equations in Hilbert spaces.

Cite

@article{arxiv.0902.0286,
  title  = {On convergence in smooth gradient systems with branching of equilibria},
  author = {V. A. Galaktionov and S. I. Pohozaev and A. E. Shishkov},
  journal= {arXiv preprint arXiv:0902.0286},
  year   = {2009}
}

Comments

22 pages