2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/218288T.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.22 pagesAnalysis of PDEs35K55On convergence in smooth gradient systems with branching of equilibriatext