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Remarks on minimal surfaces in Minkowski space

  • Giovanni Bellettini (Università degli Studi di Roma "Tor Vergata")
A3 01 (Sophus-Lie room)

Abstract

Stationary surfaces in Lorentzian space may arise as singular limits of the hyperbolic analog of Ginzburg-Landau equations. We describe some qualitative properties of such surfaces, assuming enough regularity. However, singularities may arise. This seems to require a notion of weak solution of the minimal surface equation. We start a discussion on this issue.

Work in collaboraton with Jens Hoppe (KTH, Sweden), Matteo Novaga (Padova, Italy), and Giandomenico Orlandi (Verona, Italy).

Anne Dornfeld

MPI for Mathematics in the Sciences Contact via Mail

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