The existence and convergence of heat flows (Q2711951)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The existence and convergence of heat flows |
scientific article |
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15 April 2002
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heat flow
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harmonic map
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The existence and convergence of heat flows (English)
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By using results of the author and \textit{G. Tian} (preprint) the present paper gives a new proof of the result obtained by Lin-Wang in a previous preprint, which states that if \(M\) and \(N\) are compact Riemannian manifolds and \(N\) does not carry a harmonic sphere \(S^2\), for any \(u_0\in H^{1,2}(M,N)\), then there is a stationary weak heat flow \(u(x,t)\) with initial data \(u_0\). Furthermore, \(u(x,t)\) subconverges to a stationary harmonic map.NEWLINENEWLINEFor the entire collection see [Zbl 0959.00021].
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