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Mean curvature flow with a forcing term in minkowski space
Authors:Mark A S Aarons
Institution:(1) Albert Einstein Insitut (MPI für Gravitationsphysik) Am Mühlenburg 1, Potsdam 14476, Germany
Abstract:We study the forced mean curvature flow of graphs in Minkowski space and prove longtime existence of solutions. When the forcing term is a constant, we prove convergence to either a constant mean curvature hypersurface or a translating soliton – depending on the boundary conditions at infinity. It is a pleasure to thank my PhD advisors Klaus Ecker and Gerhard Huisken for their assistance and encouragement. I also thank Maria Athanassenas, Oliver Schnürrer and Marty Ross for their interest and useful comments, and the Max Planck Gesellschaft for financial support.
Keywords:Mean curvature flow  Constant mean curvature hypersurfaces
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