On convergence in smooth gradient systems with branching of equilibria

Details On convergence in smooth gradient systems with branching of equilibria On convergence in smooth gradient systems with branching of equilibria

2009-02-02

arxiv.org/abs/0902.0286v1

Mathematics

Analysis of PDEs

22 pages

Scientific paper

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.

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