Name
Title | ||
|---|---|---|
ON A DEGENERATE NONLOCAL PARABOLIC PROBLEM DESCRIBING INFINITE DIMENSIONAL REPLICATOR DYNAMICS |
Abstract | ||
|---|---|---|
We establish the existence of locally positive weak solutions to the homogeneous Dirichlet problem for u(t) = u Delta u + u integral(Omega) |del u|(2) in bounded domains Omega subset of R-n which arises in game theory. We prove that solutions converge to 0 if the initial mass is small, whereas they undergo blow-up in finite time if the initial mass is large. In particular, it is shown that in this case the blow-up set coincides with (Omega) over bar; i.e., the finite-time blow-up is global. |
Year | DOI | Venue |
|---|---|---|
2017 | 10.1137/15M1053840 | SIAM JOURNAL ON MATHEMATICAL ANALYSIS |
Keywords | Field | DocType |
degenerate diffusion,nonlocal nonlinearity,blow-up,evolutionary games,infinite dimensional replicator dynamics | Degenerate energy levels,Nabla symbol,Nonlinear system,Dirichlet problem,Parabolic problem,Mathematical analysis,Replicator equation,Omega,Mathematics,Bounded function | Journal |
Volume | Issue | ISSN |
49 | 2 | 0036-1410 |
Citations | PageRank | References |
0 | 0.34 | 2 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Nikos. I. Kavallaris | 1 | 2 | 2.26 |
| johannes lankeit | 2 | 0 | 0.34 |
| Michael Winkler | 3 | 23 | 5.52 |