Theorem on the central manifold of a nonlinear parabolic equation

Authors

  • E. P. Belan
  • O. B. Lykova

Abstract

Under certain assumptions, we prove the existence of an m-parameter family of solutions that form the central invariant manifold of a nonlinear parabolic equation. For this purpose, we use an abstract scheme that corresponds to energy methods for strongly parabolic equations of arbitrary order.

Published

25.08.1996

Issue

Section

Research articles

How to Cite

Belan, E. P., and O. B. Lykova. “Theorem on the Central Manifold of a Nonlinear Parabolic Equation”. Ukrains’kyi Matematychnyi Zhurnal, vol. 48, no. 8, Aug. 1996, pp. 1021-36, https://umj.imath.kiev.ua/index.php/umj/article/view/5246.