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math.AP2020
Singular solutions to parabolic equations in nondivergence form
Luis Silvestre
For any , we construct an example of a solution to a parabolic equation with measurable coefficients in two space dimensions which has an isolated singularity and is no…
math.AP2020
Regularity for the Boltzmann equation conditional to macroscopic bounds
Cyril Imbert, Luis Silvestre
The Boltzmann equation is a nonlinear partial differential equation that plays a central role in statistical mechanics. From the mathematical point of view, the existence of global…