2 citations · 2 across the 2 of their papers we have counts for
6 papers
A symmetry property for elliptic equations on the sphere
Phillipo Lappicy
The goal of this paper is to study how the symmetry of the spherical domain influences solutions of elliptic equations on such domain. The method pursued is a variant of the moving…
Conley's index and connection matrices for non-experts
Phillipo Lappicy
This is a self-contained tour of the Conley index and connection matrices. The starting point is Conley's fundamental theorem of dynamical systems. There is a short stop at the nec…
Space of initial data for self-similar Schwarzschild solutions
Phillipo Lappicy
The Einstein constraint equations describe the space of initial data for the evolution equations, dictating how space should curve within spacetime. Under certain assumptions, the…
Sturm attractors for quasilinear parabolic equations
Phillipo Lappicy
The goal of this paper is to construct explicitly the global attractors of quasilinear parabolic equations, as it was done for the semilinear case by Brunovský and Fiedler (1986),…
Sturm attractors for quasilinear parabolic equations with singular coefficients
Phillipo Lappicy
The goal of this paper is to construct explicitly the global attractors of parabolic equations with singular diffusion coefficients on the boundary, as it was done without the sing…
A Lyapunov function for fully nonlinear parabolic equations in one spatial variable
Phillipo Lappicy, Bernold Fiedler
Lyapunov functions are used to prove stability of equilibria, or to indicate a gradient-like structure of a dynamical system. Zelenyak (1968) and Matano (1988) constructed a Lyapun…