On convergence in smooth gradient systems with branching of equilibria

2009/02/02 by V. A. Galaktionov, В. А. Галактионов, Stanislav I. Pohožaev +6
Computer Science · Mathematics · #35K55 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #Mathematical Biology Tumor Growth #Nonlinear Partial Differential Equations #math.AP #msc:35K55

paper · pdf · doi:10.48550/arxiv.0902.0286

22 pages

arxiv created 2009/02/02 · openalex publication_date 2009/02/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Partial Differential Equations

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