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

688 citations

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Showing 2009 · math.APShow all

8 papers · 2 filters

math.AP2009

Ergodic problems and periodic homogenization for fully nonlinear equations in half-space type domains with Neumann boundary conditions

Guy Barles, Francesca Da Lio, Pierre-Louis Lions +1

We study periodic homogenization problems for second-order pde in half-space type domains with Neumann boundary conditions. In particular, we are interested in "singular problems"…

math.AP2009

Continuity in two dimensions for a very degenerate elliptic equation

Filippo Santambrogio, Vincenzo Vespri

An elliptic equation div(F(Du)) = f whose ellipticity strongly degenerates for small values of Du (say, F = 0 on B(0,1)) is considered. The aim is to prove regularity for F(Du). Th…

math.AP2009★ 2 cited

Improved intermediate asymptotics for the heat equation

Jean-Philippe Bartier, Adrien Blanchet, Jean Dolbeault +1

This letter is devoted to results on intermediate asymptotics for the heat equation. We study the convergence towards a stationary solution in self-similar variables. By assuming t…

math.AP2009

Eigenvalues for radially symmetric non-variational fully nonlinear operators

Maria J. Esteban, Patricio Felmer, Alexander Quaas

In this paper we present an elementary theory about the existence of eigenvalues for fully nonlinear radially symmetric 1-homogeneous operators. A general theory for first eigenval…

math.AP2009★ 16 cited

Phasefield theory for fractional diffusion-reaction equations and applications

Cyril Imbert, Panagiotis E. Souganidis

This paper is concerned with diffusion-reaction equations where the classical diffusion term, such as the Laplacian operator, is replaced with a singular integral term, such as the…

math.AP2009

Quasi-potentials of the entropy functionals for scalar conservation laws

Giovanni Bellettini, Federica Caselli, Mauro Mariani

We investigate the quasi-potential problem for the entropy cost functionals of non-entropic solutions to scalar conservation laws with smooth fluxes. We prove that the quasi-potent…