Heat flow for \(p\)-harmonic maps between Riemannian compact manifolds (Q2778341)
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scientific article; zbMATH DE number 1719872
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Heat flow for \(p\)-harmonic maps between Riemannian compact manifolds |
scientific article; zbMATH DE number 1719872 |
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20 May 2002
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heat equation
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\(p\)-harmonic maps
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Heat flow for \(p\)-harmonic maps between Riemannian compact manifolds (English)
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By generalizing [\textit{J. Eells} and \textit{J. H. Sampson}, Am. J. Math. 86, 109-160 (1964; Zbl 0122.40102)], the main result here gives the global existence of a weak solution of a heat equation for \(p\)-harmonic maps \((p>1)\), between compact Riemannian manifolds without boundary, with the target of non-positive sectional curvature. This solution converges at infinity to a regular weakly \(p\)-harmonic map. Each homotopy class of \(C^1\)-mappings contains an absolute minimizer for the \(p\)-energy.
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