K. Gkikas

activity

20122025

most citedSemilinear elliptic Schrödinger equations with singular potentials and absorption terms

3 citations · 10 across the 19 of their papers we have counts for

collaborators

Showing 2017Show all

2 papers · 1 filter

math.AP2017

Ancient shrinking spherical interfaces in the Allen-Cahn flow

Manuel del Pino, Konstantinos T. Gkikas

We consider the parabolic Allen-Cahn equation in $R^{n}$ , $n \geq 2$ , $u_{t} = Δ u + (1 - u^{2}) u in R^{n} \times (- \infty, 0] .$ We construct an ancient radial…

math.AP2017★ 2 cited

Ancient multiple-layer solutions to the Allen-Cahn equation

Manuel del Pino, Konstantinos T. Gkikas

We consider the parabolic one-dimensional Allen-Cahn equation $u_{t} = u_{xx} + u (1 - u^{2}) (x, t) \in R \times (- \infty, 0] .$ The steady state $w (x) = tanh (x / 2)$ , co…