Heat flow for p-harmonic maps with small initial data |
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| Authors: | Fardoun Ali Regbaoui Rachid |
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| Affiliation: | (1) Département de Mathématiques, Université de Brest, 6 Avenue Le Gorgeu, 29285 Brest, France (e-mail: fardoun@univ-brest-fr) , FR |
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| Abstract: | We study developing singularities for surfaces of rotation with free boundaries and evolving under volume-preserving mean curvature flow. We show that singularities form a finite, discrete set along the axis of rotation. We prove a monotonicity formula and conclude that type I singularities are asymtotically cylindrical. |
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| Keywords: | Mathematics Subject Classification (1991): 58E20 |
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