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Title:
Constraint equations on compact manifolds with boundary (Join work with Emmanuel Humbert and Ngo Quoc Anh
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Abstract:
In this talk I will present old and new results on the construction of solutions to the constraint equations with non-constant mean curvature. From previous work with Mattias Dahl and Emmanuel Humbert, it is known that, on closed manifolds, solutions to the conformal constraint equations exist provided that a certain limit equation admits no non-trivial solution. We extend this result to manifolds with boundary with apparent horizon boundary condition
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