29 citations · 127 across the 19 of their papers we have counts for
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Multiplier Ideal Sheaves and the Kähler-Ricci Flow
D. H. Phong, Natasa Sesum, Jacob Sturm
Multiplier ideal sheaves are constructed as obstructions to the convergence of the Kähler-Ricci flow on Fano manifolds, following earlier constructions of Kohn, Siu, and Nadel, and…
On the extinction profile of solutions to fast-diffusion
Panagiota Daskalopoulos, Natasa Sesum
We study the extinction behavior of solutions to the fast diffusion equation on , in the range of exponents , . We s…
Type II extinction profile of maximal solutions to the Ricci flow in
Panagiota Daskalopoulos, Natasa Sesum
We consider the initial value problem , in , corresponding to the Ricci flow, namely conformal evolution of the metric $u (dx_1^2 + dx_2…
Eternal Solutions to the Ricci Flow on
Panagiota Daskalopoulos, Natasa Sesum
We provide the classification of eternal (or ancient) solutions of the two-dimensional Ricci flow, which is equivalent to the fast diffusion equation $ \frac{\partial u}{\partial t…
Properties of the solutions of the conjugate heat equation
Richard Hamilton, Natasa Sesum
In this paper we consider the class of those solutions to the conjugate heat equation on compact Kähler manifolds with $c_1 >…