Zobrazeno 1 - 10
of 62
pro vyhledávání: '"Escauriaza, Luis"'
We consider the Kato square root problem for non-divergence second order elliptic operators $L =- a_{ij} D_iD_j$, and, especially, the normalized adjoints of such operators. In particular, our results are applicable to the case of real coefficients h
Externí odkaz:
http://arxiv.org/abs/2304.14694
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 discontinuity in $Z$. Using unique continuation and backward uniqueness
Externí odkaz:
http://arxiv.org/abs/2008.03500
Publikováno v:
Journal of Evolution Equations Vol. 21 (2021), no. 4, pp. 4641-4702
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 coefficients have Dini mean oscillation and the lower order coefficients
Externí odkaz:
http://arxiv.org/abs/1912.08762
Autor:
Escauriaza, Luis, Hofmann, Steve
We prove the Kato conjecture for elliptic operators, $L=-\nabla\cdot\left((\mathbf A+\mathbf D)\nabla\ \right)$, with $\mathbf A$ a complex measurable bounded coercive matrix and $\mathbf D$ a measurable real-valued skew-symmetric matrix in $\mathbb{
Externí odkaz:
http://arxiv.org/abs/1712.09808
Publikováno v:
Mathematische Annalen, Volume 370 (2018), No. 1-2, pp. 447-489
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 differentiable up to the boundary when the leading coefficients have
Externí odkaz:
http://arxiv.org/abs/1704.01520
Autor:
Escauriaza, Luis, Montaner, Santiago
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 derivatives are a priori only known to be integrable. The main assump
Externí odkaz:
http://arxiv.org/abs/1606.05577
Publikováno v:
Vietnam Journal of Mathematics; October 2024, Vol. 52 Issue: 4 p1067-1096, 30p
We find new quantitative estimates on the space-time analyticity of solutions to linear parabolic equations with analytic coefficients near the initial time. We apply the estimates to obtain observability inequalities and null-controllability of para
Externí odkaz:
http://arxiv.org/abs/1509.04053
Autor:
ESCAURIAZA, LUIS, HOFMANN, STEVE
Publikováno v:
Proceedings of the American Mathematical Society, 2018 Dec 01. 146(12), 5295-5310.
Externí odkaz:
https://www.jstor.org/stable/90026465
In this work we shall review some of our recent results concerning unique continuation properties of solutions of Schr\"odinger equations. In this equations we include linear ones with a time depending potential and semi-linear ones.
Externí odkaz:
http://arxiv.org/abs/1110.4873