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Contracting spacelike hypersurfaces by their inverse mean curvature
Published online by Cambridge University Press: 09 April 2009
Abstract
In this work we study the behaviour of compact, smooth, orientable, spacelike hypersurfaces without boundary, which are immersed in cosmological spacetimes and move under the inverse mean curvature flow. We prove longtime existence and regularity of a solution to the corresponding nonlinear parabolic system of partial differential equations.
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- Copyright © Australian Mathematical Society 2000
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