We describe a time-dependent functional involving the relative entropy and the PH1
seminorm, which decreases along solutions to the spatially homogeneous Landau equation …

We consider the spatially homogeneous Landau equation with Coulomb potential. We show
short time propagation of smallness in norms for and instantaneous regularization in …

We establish an a priori estimate for the dissipation of the Fisher information for the space-
homogeneous Landau equation with very soft potentials. This work is motivated by the …

We consider the homogeneous and inhomogeneous Landau equation for very soft and
Coulomb potentials and show that approximate Type I self-similar blow-up solutions do not …

In this article, we show local-in-time existence of strong solutions to the homogeneous
Landau equation with Coulomb potential for general initial datum $ f_ {in}\in L^ p $ for $ p …

Abstract The Landau–Coulomb equation is an important model in plasma physics featuring
both nonlinear diffusion and reaction terms. In this manuscript we focus on the diffusion …

In this manuscript we establish an L∞ estimate for the isotropic analogue of the
homogeneous Landau equation. This is done for values of the interaction exponent γ in (a …

We consider the homogeneous Landau equation in $\mathbb {R}^ 3$ with Coulomb
potential and initial data in polynomially weighted $ L^{3/2} $. We show that there exists a …

In this paper, we introduce Prodi–Serrin like criteria which enable us to provide a priori
estimates for the solutions to the spatially homogeneous Landau equation for all classical …

We consider the homogeneous Landau equation with Coulomb potential and general initial
data f in∈ L p, where p is arbitrarily close to 3/2. We show the local-in-time existence and …