Evolution of hypersurfaces in central force fields

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2002
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Journal für die reine und angewandte Mathematik ; 2002 (2002), 550. - pp. 77-95. - ISSN 0075-4102. - eISSN 1435-5345
Abstract
We consider flows of hypersurfaces in Rn+1 decreasing the energyinduced byradiallysy mmetric potentials. These flows are similar to the mean curvature flow but di¤erent phenomena occur. We show for a natural class of potentials that hypersurfaces converge smoothlyto a uniquely determined sphere if theysatisfya strengthened starshapedness condition at the beginning.
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510 Mathematics
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ISO 690SCHNÜRER, Oliver C., Knut SMOCZYK, 2002. Evolution of hypersurfaces in central force fields. In: Journal für die reine und angewandte Mathematik. 2002(550), pp. 77-95. ISSN 0075-4102. eISSN 1435-5345. Available under: doi: 10.1515/crll.2002.075
BibTex
@article{Schnurer2002-01-26Evolu-41141,
  year={2002},
  doi={10.1515/crll.2002.075},
  title={Evolution of hypersurfaces in central force fields},
  number={550},
  volume={2002},
  issn={0075-4102},
  journal={Journal für die reine und angewandte Mathematik},
  pages={77--95},
  author={Schnürer, Oliver C. and Smoczyk, Knut}
}
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