On convergence in smooth gradient systems with branching of equilibria

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.

22 pages

Cited by in corpus (1)

• Towards the KPP--Problem and Log-Front Shift for Higher-Order Nonlinear PDEs I. Bi-Harmonic and Other Parabolic Equations