4 citations · 23 across the 17 of their papers we have counts for
4 papers · 1 filter
On bifurcation from infinity: a compactification approach
José M. Arrieta, Juliana Fernandes, Phillipo Lappicy
We consider a scalar parabolic partial differential equation on the interval with nonlinear boundary conditions that are asymptotically sublinear. As the parameter crosses critical…
An energy formula for fully nonlinear degenerate parabolic equations in one spatial dimension
Phillipo Lappicy, Ester Beatriz
Energy (or Lyapunov) functions are used to prove stability of equilibria, or to indicate a gradient-like structure of a dynamical system. Matano constructed a Lyapunov function for…
A Unified Theory for Inertial Manifolds, Saddle Point Property and Exponential Dichotomy
Alexandre N. Carvalho, Phillipo Lappicy, Estefani M. Moreira +1
Inertial manifold theory, saddle point property and exponential dichotomy have been treated as different topics in the literature with different proofs. As a common feature, they a…
Sturm attractors for fully nonlinear parabolic equations
Phillipo Lappicy
We explicitly construct global attractors of fully nonlinear parabolic equations. The attractors are decomposed as equilibria (time independent solutions) and heteroclinic orbits (…