We discuss some properties of timelike minimal surfaces in flat Minkowski spacetime, reviewing some recent results concerning the definition of suitable notions of weak or generalized solutions in both the parametric and non parametric case, and the approximation by semilinear wave equations of Allen-Cahn or Ginzburg-Landau type. We mainly focus on the case of relativistic strings.
Time-like minimal surfaces in Minkowski space
ORLANDI, Giandomenico
2013-01-01
Abstract
We discuss some properties of timelike minimal surfaces in flat Minkowski spacetime, reviewing some recent results concerning the definition of suitable notions of weak or generalized solutions in both the parametric and non parametric case, and the approximation by semilinear wave equations of Allen-Cahn or Ginzburg-Landau type. We mainly focus on the case of relativistic strings.
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