2 citations · 2 across the 5 of their papers we have counts for
5 papers
Pointwise bounds and obstructions to blowup for the Landau and Boltzmann equations
William Golding, Christopher Henderson, Luis Silvestre
We establish a new a priori estimate on solutions to the space-inhomogeneous Landau and Boltzmann equations. As a consequence, we prove a new continuation criterion, based on a wei…
On the monotonicity of the Fisher information for the Boltzmann equation
Cyril Imbert, Luis Silvestre, Cédric Villani
We prove that the Fisher information is monotone decreasing in time along solutions of the space-homogeneous Boltzmann equation for a large class of collision kernels covering all…
Partial regularity in time for the space-homogeneous Boltzmann equation with very soft potentials
François Golse, Cyril Imbert, Luis Silvestre
We prove that the set of singular times for weak solutions of the homogeneous Boltzmann equation with very soft potentials constructed as in Villani (1998) has Hausdorff dimension…
Boundary regularity for viscosity solutions of fully nonlinear elliptic equations
Luis Silvestre, Boyan Sirakov
We provide regularity results at the boundary for continuous viscosity solutions to nonconvex fully nonlinear uniformly elliptic equations and inequalities in Euclidian domains. We…
Partial regularity of solutions of fully nonlinear uniformly elliptic equations
Scott N. Armstrong, Luis Silvestre, Charles K. Smart
We prove that a viscosity solution of a uniformly elliptic, fully nonlinear equation is on the compliment of a closed set of Hausdorff dimension at most less than the…