Slowly non-dissipative equations with oscillating growth
Phillipo LappicyUniversidade de São Paulo, São Carlos, Brazil
Juliana PimentelUniversidade Federal do Rio de Janeiro, Brazil
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. 313–327DOI 10.4171/PM/2021