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19932026
most citedInferring population history with DIYABC: a user-friendly approach to Approximate Bayesian Computation

688 citations

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Showing 2011 · math.APShow all

8 papers · 2 filters

math.AP2011

Shape flows for spectral optimization problems

Dorin Bucur, Giuseppe Buttazzo, Ulisse Stefanelli

We consider a general formulation of gradient flow evolution for problems whose natural framework is the one of metric spaces. The applications we deal with are concerned with the…

math.AP2011

Interface dynamics of the porous medium equation with a bistable reaction term

Matthieu Alfaro, Danielle Hilhorst

We consider a degenerate partial differential equation arising in population dynamics, namely the porous medium equation with a bistable reaction term. We study its asymptotic beha…

math.AP2011

A nonlinear degenerate elliptic problem with W^{1,1}_0 solutions

Lucio Boccardo, Gisella Croce, Luigi Orsina

We study a nonlinear equation with an elliptic operator having degenerate coercivity. We prove the existence of a unique W^{1,1}_0 distributional solution under suitable summabilit…

math.AP2011

On the attractive plasma-charge system in 2-d

Silvia Caprino, Carlo Marchioro, Evelyne Miot +1

We study a positively charged Vlasov-Poisson plasma in which N negative point charges are immersed. The attractiveness of the system forces us to consider a possibly unbounded plas…

math.AP2011

An hp Finite Element Method for singularly perturbed transmission problems in smooth domains

Serge Nicaise, Xenophontos Christos

We consider a two-dimensional singularly perturbed transmission problem with two different diffusion coefficients, in a domain with smooth (analytic) boundary. The solution will co…

math.AP2011

Sufficient conditions for existence of solutions to vectorial differential inclusions

Ana Cristina Barroso, Gisella Croce, Ana Ribeiro

In this paper we discuss the existence of solutions to vectorial differential inclusions. We investigate sufficient conditions for existence, more flexible than those available in…