Erik Lindgren
Post doc at École nationale des ponts et chaussées (Champs-sur-Marne) and École polytechnique (Palaiseau), financed by the MICA project and the Chaire MMSN.
Adress: CERMICS – ENPC, 6 et 8 avenue Blaise Pascal, Cité Descartes – Champs sur Marne, 77455 Marne la Vallée Cedex 2 (FRANCE)
Phone: +33(0)164153557
Email:
Mathematical interest: Free boundary problems, variational problems and PDE:s in general.
Papers:
A free boundary problem with constant Bernoulli-type boundary condition, joint work with Yannick Privat (Nancy), Nonlinear Analysis: Theory, Methods & Applications, Volume 67, Issue 8, 15 October 2007, Pages 2497-2505.
Regularity of the free boundary for a semilinear elliptic problem in two dimensions, joint work with Arshak Petrosyan (Purdue), published in Indiana Univ. Math J. 57 (2008), 3397-3418.
The N-membranes problem, joint work with Abdolrahman Razani (Imam Khomeini International University), published in Bulletin of the IMS, Volume 35, No. 1, April 2009..
The two-phase obstacle problem for the p-laplacian when p~2, joint work with Anders Edquist (KTH), published in Calculus of Variations.
On the two-phase membrane problem with coefficients below the Lipschitz threshold, joint work with Anders Edquist and Henrik Shahgholian (both at KTH), published in Annales de l'Institut Henri Poincaré - Analyse non linéaire.
On the penalized obstacle problem in the unit half ball, published in the Electronic Journal of Differential Equations.
Regularity of a parabolic free boundary problem with Hölder continuous coefficients, preprint, joint work with Anders Edquist (KTH).
The Hölder infinite Laplacian and Hölder extensions, preprint, joint work with Antonin Chambolle (CMAP) and Régis Monneau (CERMICS).
Optimal regularity of a parabolic free boundary problem of two-phase type with coefficients worse than Lipschitz, preprint, joint work with Jyotshana V. Prajapat (Petroleum Institute).