Parabolic methods for the construction of spacelike slices of prescribed mean curvature in cosmological spacetimes

Author:

Ecker Klaus,Huisken Gerhard

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference31 articles.

1. [B1] Bartnik, R.: Existence of maximal surfaces in asymptotically flat spacetimes. Commun. Math. Phys.94, 155–175 (1984)

2. [B2] Bartnik, R.: Remarks on cosmological spacetimes and constant mean curvature surfaces. Commun. Math. Phys.117, 615–624 (1988)

3. [BS] Bartnik, R., Simon, L.: Spacelike hypersurfaces with prescribed boundary values and mean curvature. Commun. Math. Phys.87, 131–152 (1982)

4. [BK] Brakke, K.A.: The motion of a surface by its mean curvature. Math. Notes, Princeton, N.J.: Princeton University Press 1978

5. [BF] Brill, D., Flaherty, F.: Maximizing properties of extremal surfaces in general relativity. Ann. Inst. Henri Poincaré A28, 335–347 (1978)

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