This paper deals with the space-homogenous Landau equation with very soft potentials,
including the Coulomb case. This nonlinear equation is of parabolic type with diffusion …

We consider solutions to the space-homogeneous Landau equation with a general family of
interaction potentials. We prove that their Fisher information is monotone decreasing in time …

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

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 …

We study the slightly perturbed homogeneous Landau equation\[\partial_t f= a_
{ij}(f)\cdot\partial_ {ij} f+\alpha c (f) f,\quad c (f)=-\partial_ {ij} a_ {ij}(f),\] with very soft …

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 …

We consider the spatially inhomogeneous Landau equation in the case of very soft and
Coulomb potentials, $\gamma\in [-3,-2] $. We show that solutions can be continued as long …

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 …