Results 131 to 140 of about 5,226,204 (223)

Sharp Regularity Results on Second Derivatives of Solutions to the Monge-Ampère Equation With Vmo Type Data

, 2009
We establish interior estimates for Lp-norms, Orlicz norms, and mean oscillation of second derivatives of solutions to the Monge-Ampère equation detD2u = f(x) with zero boundary value, where f(x) is strictly positive, bounded, and satisfies a VMO-type ...
Huang, Qingbo
core   +1 more source

Design of freeform mirrors using the concentric rings method. [PDF]

Heliyon, 2023
González-García J, Santiago-Alvarado A, Cruz-Félix AS.   +2 more
europepmc   +1 more source

Classification of Monge-Ampère equations with two variables [PDF]

, 1999
This paper deals with the classification of hyperbolic Monge-Ampère equations on a two-dimensional manifold. We solve the local equivalence problem with respect to the contact transformation group assuming that the equation is of general position ...
Kruglikov, Boris
core  

Optimal transport and control of active drops. [PDF]

Proc Natl Acad Sci U S A, 2022
Shankar S, Raju V, Mahadevan L.
europepmc   +1 more source

The dirichlet problem for a complex Monge-Ampère equation

, 1976
Eric Bedford, B. A. Taylor
semanticscholar   +1 more source

Regularity of center-outward distribution functions in non-convex domains

Advanced Nonlinear Studies
For a probability P in Rd ${\mathbb{R}}^{d}$ its center outward distribution function F ±, introduced in V. Chernozhukov, A. Galichon, M. Hallin, and M. Henry (“Monge–Kantorovich depth, quantiles, ranks and signs,” Ann. Stat., vol. 45, no. 1, pp.
del Barrio Eustasio, González-Sanz Alberto   +1 more
doaj   +1 more source

A Mean Value Formula and a Liouville Theorem for the Complex Monge–Ampère Equation

, 2018
In this paper, we prove a mean value formula for bounded subharmonic Hermitian matrix valued function on a complete Riemannian manifold with nonnegative Ricci curvature.
Jiayu Li, Xi Zhang, Chao Li
core   +1 more source

Second-order PDEs in four dimensions with half-flat conformal structure. [PDF]

Proc Math Phys Eng Sci, 2020
Berjawi S, Ferapontov EV, Kruglikov B, Novikov V.   +3 more
europepmc   +1 more source

Two-scale method for the Monge–Ampère equation: pointwise error estimates

, 2018
In this paper we continue the analysis of the two-scale method for the Monge–Ampère equation for dimension d ≥ 2 introduced in the study by Nochetto et al. (2017, Two-scale method for the Monge–Ampère equation: convergence to the viscosity solution. Math.
D Ntogkas, R H Nochetto, W Zhang
core   +1 more source

Taming hyperparameter tuning in continuous normalizing flows using the JKO scheme. [PDF]

Sci Rep, 2023
Vidal A, Wu Fung S, Tenorio L, Osher S, Nurbekyan L.   +4 more
europepmc   +1 more source