5 papers
An obstacle problem arising from American options pricing: regularity of solutions
Henrique Borrin, Diego Marcon
We analyse the obstacle problem for the nonlocal parabolic operator \[\partial_t u + (-Δ)^{s} u - b \cdot \nabla u - \mathcal{I}u - ru,\] where , …
On the Lagrangian structure of transport equations: relativistic Vlasov systems
Henrique Borrin, Diego Marcon
We study the Lagrangian structure of relativistic Vlasov systems, such as the relativistic Vlasov-Poisson and the relativistic quasi-eletrostatic limit of Vlasov-Maxwell equations.…
Homogenization of obstacle problems in Orlicz-Sobolev spaces
Diego Marcon, José Francisco Rodrigues, Rafayel Teymurazyan
We study the homogenization of obstacle problems in Orlicz-Sobolev spaces for a wide class of monotone operators (possibly degenerate or singular) of the -Laplacian type.…
On the Blow-up Criterion of Magnetohydrodynamics Equations in Homogeneous Sobolev Spaces
Diego Marcon, Wilberclay G. Melo, Lineia Schutz +1
In this paper, we obtain new lower bounds on the Homogeneous Sobolev--norms of the maximal solution of the Magnetohydrodynamics Equations. This gives us some insight on the blow-up…
A quantitative log-Sobolev inequality for a two parameter family of functions
Emanuel Indrei, Diego Marcon
We prove a sharp, dimension-free stability result for the classical logarithmic Sobolev inequality for a two parameter family of functions. Roughly speaking, our family consists of…