Volume 5, Issue 4
A Generalization of Eells-Sampson's Theorem

Ding Weiyue, Lin Fanghua

DOI:

J. Part. Diff. Eq.,5(1992),pp.13-22

Published online: 1992-05

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  • Abstract

We generalize the well-known Eells-Sampson's theorem on the global existence and convergence for the heat flow of harmonic maps. The assumption that the curvature of the target manifold N be nonpoeitive is replaced by the weaker one requiring that the universal cover \tilde{N} admit a strictly convex function with quadratic growth.

  • Keywords

Harmonic maps heat flow

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@Article{JPDE-5-13, author = {Ding Weiyue, Lin Fanghua}, title = {A Generalization of Eells-Sampson's Theorem}, journal = {Journal of Partial Differential Equations}, year = {1992}, volume = {5}, number = {4}, pages = {13--22}, abstract = { We generalize the well-known Eells-Sampson's theorem on the global existence and convergence for the heat flow of harmonic maps. The assumption that the curvature of the target manifold N be nonpoeitive is replaced by the weaker one requiring that the universal cover \tilde{N} admit a strictly convex function with quadratic growth.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5749.html} }
TY - JOUR T1 - A Generalization of Eells-Sampson's Theorem AU - Ding Weiyue, Lin Fanghua JO - Journal of Partial Differential Equations VL - 4 SP - 13 EP - 22 PY - 1992 DA - 1992/05 SN - 5 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5749.html KW - Harmonic maps KW - heat flow AB - We generalize the well-known Eells-Sampson's theorem on the global existence and convergence for the heat flow of harmonic maps. The assumption that the curvature of the target manifold N be nonpoeitive is replaced by the weaker one requiring that the universal cover \tilde{N} admit a strictly convex function with quadratic growth.
Ding Weiyue, Lin Fanghua. (1970). A Generalization of Eells-Sampson's Theorem. Journal of Partial Differential Equations. 5 (4). 13-22. doi:
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