53 citations · 134 across the 18 of their papers we have counts for
20 papers
On the Kato problem for elliptic operators in non-divergence form
Luis Escauriaza, Pablo Hidalgo-Palencia, Steve Hofmann
We consider the Kato square root problem for non-divergence second order elliptic operators , and, especially, the normalized adjoints of such operators. In par…
Radner equilibrium and systems of quadratic BSDEs with discontinuous generators
Luis Escauriaza, Daniel C. Schwarz, Hao Xing
Motivated by an equilibrium problem, we establish the existence of a solution for a family of Markovian backward stochastic differential equations with quadratic nonlinearity and d…
On , , and estimates for linear parabolic operators
Hongjie Dong, Luis Escauriaza, Seick Kim
We show that weak solutions to parabolic equations in divergence form with zero Dirichlet boundary conditions are continuously differentiable up to the boundary when the leading co…
Kato square root problem with unbounded leading coefficients
Luis Escauriaza, Steve Hofmann
We prove the Kato conjecture for elliptic operators, , with a complex measurable bounded coercive matrix and $…
On , , and weak type- estimates for linear elliptic operators: Part II
Hongjie Dong, Luis Escauriaza, Seick Kim
We extend and improve the results in \cite{DK16}: showing that weak solutions to full elliptic equations in divergence form with zero Dirichlet boundary conditions are continuously…
Some remarks on the Lp regularity of second derivatives of solutions to non-divergence elliptic equations and the Dini condition
Luis Escauriaza, Santiago Montaner
In this note we prove an end-point regularity result on the Lp integrability of the second derivatives of solutions to non-divergence form uniformly elliptic equations whose second…