21 citations · 43 across the 19 of their papers we have counts for
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math.AP2015
On a degenerate non-local parabolic problem describing infinite dimensional replicator dynamics
Nikos I. Kavallaris, Johannes Lankeit, Michael Winkler
We establish the existence of locally positive weak solutions to the homogeneous Dirichlet problem for \[ u_t = u Δu + u \int_Ω|\nabla u|^2 \] in bounded domains $Ω\subset\mathbb{R…
math.AP2015★ 1 cited
Finite-time blow-up of a non-local stochastic parabolic problem
Nikos I. Kavallaris, Yubin Yan
The main aim of the current work is the study of the conditions under which (finite-time) blow-up of a non-local stochastic parabolic problem occurs. We first establish the existen…