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Improved regularity of harmonic map flows with Milder continuous energy
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UNSPECIFIED (2004) Improved regularity of harmonic map flows with Milder continuous energy. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 21 (1). pp. 47-55. doi:10.1007/s00526-003-0246-5 ISSN 0944-2669.
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Official URL: http://dx.doi.org/10.1007/s00526-003-0246-5
Abstract
For a smooth harmonic map flow u : M x [0, T) --> N with blow-up as t up arrow T, it has been asked [6,5,7] whether the weak limit u(T) : M --> N is continuous. Recently, in [12], we showed that in general it need not be. Meanwhile, the energy function E(u(.)) : [0, T) --> R, being weakly positive, smooth and weakly decreasing, has a continuous extension to [0, T]. Here we show that if this extension is also Holder continuous, then the weak limit u(T) must also be Holder continuous.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Journal or Publication Title: | CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS | ||||
Publisher: | SPRINGER | ||||
ISSN: | 0944-2669 | ||||
Official Date: | September 2004 | ||||
Dates: |
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Volume: | 21 | ||||
Number: | 1 | ||||
Number of Pages: | 9 | ||||
Page Range: | pp. 47-55 | ||||
DOI: | 10.1007/s00526-003-0246-5 | ||||
Publication Status: | Published |
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