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Proceedings of the American Mathematical Society

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On the existence of global solutions of the nonlinear parabolic equation of Eells-Sampson over product manifolds


Author: Seiki Nishikawa
Journal: Proc. Amer. Math. Soc. 82 (1981), 369-373
MSC: Primary 58E20; Secondary 35K55
DOI: https://doi.org/10.1090/S0002-9939-1981-0612721-4
MathSciNet review: 612721
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Abstract: We extend results of Lemaire and Hamilton on the existence of global solutions of the equation in the title to warped product manifolds with boundaries.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1981-0612721-4
Keywords: Nonlinear parabolic equation of Eells-Sampson, harmonic map, warped product
Article copyright: © Copyright 1981 American Mathematical Society