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20022011
most citedInferring population history with DIYABC: a user-friendly approach to Approximate Bayesian Computation

688 citations

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Showing 2007 · math.APShow all

9 papers · 2 filters

math.AP2007

Characterization of the critical magnetic field in the Dirac-Coulomb equation

Jean Dolbeault, Maria J. Esteban, Michael Loss

We consider a relativistic hydrogenic atom in a strong magnetic field. The ground state level depends on the strength of the magnetic field and reaches the lower end of the spectra…

math.AP2007

On the Bakry-Emery criterion for linear diffusions and weighted porous media equations

Jean Dolbeault, Bruno Nazaret, Giuseppe Savaré

The goal of this paper is to give a non-local sufficient condition for generalized Poincaré inequalities, which extends the well-known Bakry-Emery condition. Such generalized Poinc…

math.AP2007

Super-linear elliptic equation for the Pucci operator without growth restrictions for the data

Maria J. Esteban, Patricio Felmer, Alexander Quaas

In this paper we deal with existence and uniqueness of solution to super-linear problems for the Pucci operator: $$ -\M^+(D^2u)+|u|^{s-1}u=f(x) \quad {in} \RR^n, $$ where and…

math.AP2007★ 133 cited

Travelling waves for the Gross-Pitaevskii equation II

Fabrice Bethuel, Philippe Gravejat, Jean-Claude Saut

The purpose of this paper is to provide a rigorous mathematical proof of the existence of travelling wave solutions to the Gross-Pitaevskii equation in dimensions two and three. Ou…

math.AP2007★ 17 cited

Homogenization of nonlinear scalar conservation laws

Anne-Laure Dalibard

We study the limit as $\e\to 0$ of the entropy solutions of the equation $\p_t \ue + \dv_x[A(\frac{x}{\e},\ue)] =0$. We prove that the sequence $\ue$ two-scale converges towards a…

math.AP2007★ 61 cited

Self-adjointness of Dirac operators via Hardy-Dirac inequalities

Maria J. Esteban, Michael Loss

Distinguished selfadjoint extensions of Dirac operators are constructed for a class of potentials including Coulombic ones up to the critical case, . The method uses Har…