Amélie Loher

activity

20222026

most citedNonlinear regularization estimates and global well-posedness for the Landau-Coulomb equation near equilibrium

1 citations · 3 across the 10 of their papers we have counts for

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math.AP2023★ 1 cited

Local-in-time strong solutions of the homogeneous Landau-Coulomb equation with $L^{p}$ initial datum

William Golding, Amélie Loher

We consider the homogeneous Landau equation with Coulomb potential and general initial data $f_{in} \in L^{p}$ , where $p$ is arbitrarily close to $3/2$ . We show the local-in-time exi…

math.AP2023

Quantitative Schauder estimates for hypoelliptic equations

Amélie Loher

We derive Schauder estimates using ideas from Campanato's approach for a general class of local hypoelliptic operators and non-local kinetic equations. The method covers equations…

math.AP2023★ 1 cited

Nonlinear regularization estimates and global well-posedness for the Landau-Coulomb equation near equilibrium

William Golding, Maria Gualdani, Amélie Loher

We consider the Landau equation with Coulomb potential in the spatially homogeneous case. We show short time propagation of smallness in $L^{p}$ norms for $p > 3/2$ and instantaneous r…

Local-in-time strong solutions of the homogeneous Landau-Coulomb equation with Lp initial datum

Quantitative Schauder estimates for hypoelliptic equations

Nonlinear regularization estimates and global well-posedness for the Landau-Coulomb equation near equilibrium

Local-in-time strong solutions of the homogeneous Landau-Coulomb equation with $L^{p}$ initial datum