Convergence of the Yamabe flow for ``large'' energies
By H. Schwetlick, Michael Struwe. 2003
175 citations recorded by the source corpus.
Subfields: Applied Mathematics, Computational Theory and Mathematics
View Paper: https://www.semanticscholar.org/paper/4f6ce5d79d242564222339a6d370e29d6c4d2115
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In Applied Mathematics
In Computational Theory and Mathematics
Citations in the corpus
- Convergence of the Yamabe flow for arbitrary initial energy (2005, background): “Recently, Struwe and Schwetlick [ 17 ] proved convergence of the Yamabe flow in lower dimensions (3 ≤ n ≤ 5) under the assumption that the Yamabe energy of the initial metric is less than (Y (M, g0)”
- Convergence of the Yamabe flow in dimension 6 and higher (2007, result): “The main issue is to understand the asymptotic behavior of solutions as t →∞ . This problem has been studied by several authors, including B. Chow [7], R. Ye [19], H. Schwetlick, and M. Struwe [ 16 ].”
- Compactness of solutions to the Yamabe problem (2004, background): “flows associated with the Yamabe problem and the Yamabe problem on manifolds with boundary, see for instance [93] , [ 86 ] and [20].”
- The Ricci-Bourguignon Flow (2015, unknown): “Moreover, by a suitable rescaling in time, when ρ is nonpositive, they can be seen as an interpolation between the Ricci flow and the Yamabe flow (see [4, 27, 30], for instance), obtained as a limit when ρ→ −∞.”
- A fractional Yamabe flow and some applications (2011, background): “The existence and convergence of (1) were established through [ 41], [24], [72], [66], [12] and [14].”
- A generalization of the Yamabe flow for manifolds with boundary (2002, unknown): “R. Ye [23] proved that the initial value problem (1) possesses a unique solution which exists for all t ≥ 0. The Yamabe flow is also studied in a recent work of H. Schwetlick and M. Struwe [ 16 ].”