Regularity for the evolution of p-harmonic maps |
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| Authors: | Masashi Misawa |
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| Affiliation: | Department of Mathematics, Faculty of Sciences Kumamoto University, 2-39-1 Kurokami, Kumamoto-shi, Kumamoto 860-8555, Japan |
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| Abstract: | This paper presents our study of regularity for p-harmonic map heat flows. We devise a monotonicity-type formula of scaled energy and establish a criterion for a uniform regularity estimate for regular p-harmonic map heat flows. As application we show the small data global in the time existence of regular p-harmonic map heat flow. |
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| Keywords: | primary 35D10 secondary 35D05 35B65 35K50 35K65 p-Laplacian system p-Harmonic map heat flow p-Harmonic map Regularity Monotonicity estimate |
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