Panagiota Daskalopoulos

activity

20062009

most citedOn the extinction profile of solutions to fast-diffusion

8 citations · 10 across the 4 of their papers we have counts for

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4 papers · 1 filter

math.AP2009

$C^{1,\al}$ regularity of solutions to parabolic Monge-Ampére equations

Panagiota Daskalopoulos, Ovidiu Savin

We study interior $C^{1, \al}$ regularity of viscosity solutions of the parabolic Monge-Ampére equation $$u_t = b(x,t) \ddua,$$ with exponent $p > 0$ and with coefficients $b$ which…

math.AP2009★ 1 cited

On the evolution of convex hypersurfaces by the $Q_{k}$ flow

M. Cristina Caputo, Panagiota Daskalopoulos, Natasa Sesum

We prove the existence and uniqueness of a $C^{1, 1}$ solution of the $Q_{k}$ flow in the viscosity sense for compact convex hypersurfaces $Σ_{t}$ embedded in $R^{n + 1}$ ( $n \geq 2$ ) . I…

math.AP2008★ 1 cited

Highly Degenerate Harmonic Mean Curvature Flow

M. Cristina Caputo, Panagiota Daskalopoulos

We study the evolution of a weakly convex surface $Σ_{0}$ in $R^{3}$ with flat sides by the Harmonic Mean Curvature flow. We establish the short time existence as well as the optimal…

math.AP2006★ 8 cited

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 $u_{t} = Δ u^{m}$ on $R^{N} \times (0, T)$ , in the range of exponents $m \in (0, \frac{N - 2}{N})$ , $N > 2$ . We s…

$C^{1,\al}$ regularity of solutions to parabolic Monge-Ampére equations

On the evolution of convex hypersurfaces by the Qk​ flow

Highly Degenerate Harmonic Mean Curvature Flow

On the extinction profile of solutions to fast-diffusion

On the evolution of convex hypersurfaces by the $Q_{k}$ flow