Theorem on the central manifold of a nonlinear parabolic equation

  • 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
How to Cite
BelanE. P., and LykovaO. B. “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.
Section
Research articles