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- W4367550718 abstract "We investigate the Liouville properties of ancient solutions to the V-harmonic map heat flows from complete noncompact Riemannian manifolds with nonnegative Bakry–Emery Ricci curvature. When the target is a simply connected complete Riemannian manifold with nonpositive sectional curvature, then a Liouville theorem of ancient solutions holds under certain growth condition near infinity. When the target is a complete Riemannian manifold with sectional curvature bounded above by a positive constant, we show that if the image of the ancient solution u is contained in a regular ball near infinity, then u is a constant." @default.
- W4367550718 created "2023-05-01" @default.
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- W4367550718 date "2023-08-01" @default.
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- W4367550718 title "Liouville theorems for ancient solutions to the <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline id=d1e22 altimg=si5.svg><mml:mi>V</mml:mi></mml:math>-harmonic map heat flows" @default.
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- W4367550718 doi "https://doi.org/10.1016/j.na.2023.113294" @default.
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