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We study the convergence of complete non-compact conformally flat solutions to the Yamabe flow to Yamabe steady solitons.
R. S. Hamilton, Lectures on geometric flows, 1989, unpublished
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Chow, B., The Yamabe flow on locally conformally flat manifolds with positive Ricci curvature
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Ye, R. Global existence and convergence of Yamabe flow
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Schwetlick, H.; Struwe, M. Convergence of the Yamabe flow for ”large” energies
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Brendle, S., Convergence of the Yamabe flow for arbitrary initial energy
2005
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Vázquez, Juan Luis. Smoothing and decay estimates for nonlinear diffusion equations: equations of porous medium type. No. 33. Oxford University Press, 2006
2006
Cited alongside, same era.
Brendle, S., Convergence of the Yamabe flow in dimension 6 and higher
2007
Cited alongside, same era.
Daskalopoulos, Panagiota, and Carlos E. Kenig. Degenerate diffusions: Initial value problems and local regularity theory. Vol. 1. European Mathematical Society, 2007
2007
Cited alongside, same era.
Daskalopoulos, P., Sesum, N., On the extinction profile of solutions to fast diffusion
2008
Cited alongside, same era.
Hamel, François, and Lionel Roques. ”Fast propagation for KPP equations with slowly decaying initial conditions.” Journal of Differential Equations 249.7 (2010): 1726-1745
2010
Cited alongside, same era.
Cao, H.-D., Sun, X., Zhang, Y., On the structure of gradient Yamabe solitons
Cited in the paper.
Cited in the paper.
Hsu, Shu-Yu. ”Singular limit and exact decay rate of a nonlinear elliptic equation.” Nonlinear Analysis: Theory, Methods & Applications 75.7 (2012): 3443-3455
2012
Later among the works it cites.
Daskalopoulos, P., and Sesum, N., ”The classification of locally conformally flat Yamabe solitons.” Advances in Mathematics 240 (2013): 346-369
2013
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Hsu, Shu-Yu. ”Existence and asymptotic behaviour of solutions of the very fast diffusion equation.” Manuscripta mathematica 140.3-4 (2013): 441-460
2013
Later among the works it cites.
2013
Later among the works it cites.
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