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arxiv: 0902.0286 · v1 · submitted 2009-02-02 · 🧮 math.AP

On convergence in smooth gradient systems with branching of equilibria

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keywords convergenceequilibriaappliesapplyautonomousbranchingdegenerateensure
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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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