Slowly non-dissipative equations with oscillating growth

  • Phillipo Lappicy

    Universidade de São Paulo, São Carlos, Brazil
  • Juliana Pimentel

    Universidade Federal do Rio de Janeiro, Brazil

Abstract

The goal of this paper is to construct explicitly the global attractors of semilinear parabolic equations when the reaction term has an oscillating growth. In this case, solution can also grow-up, and hence the attractor is unbounded and induces a flow at infinity. In particular, we construct heteroclinic connections between bounded and/or unbounded hyperbolic equilibria when the reaction term is asymptotically linear.

Cite this article

Phillipo Lappicy, Juliana Pimentel, Slowly non-dissipative equations with oscillating growth. Port. Math. 75 (2018), no. 3/4, pp. 313–327

DOI 10.4171/PM/2021