Gradient potential estimates

G Mingione - J. Eur. Math. Soc, 2011 - ems.press
gradient estimates for solutions of non-linear, nonhomogeneous elliptic equations, via usual
linear Riesz potentials, exactly as it happens for the Poisson equation via representation …

Gradient estimates via linear and nonlinear potentials

F Duzaar, G Mingione - Journal of Functional Analysis, 2010 - Elsevier
… We prove new potential and nonlinear potential pointwise gradient estimates for solutions to
… In the case p > 2 we prove a new gradient estimate employing nonlinear potentials of Wolff …

Potential estimates and gradient boundedness for nonlinear parabolic systems

T Kuusi, G Mingione - Revista Matemática Iberoamericana, 2012 - ems.press
… Riesz potential in order to derive regularity results for gradient of … potential estimates for
the spatial gradient of solutions in terms of P F r that in turn allow to obtain optimal gradient

Gradient continuity estimates

F Duzaar, G Mingione - Calculus of variations and partial differential …, 2010 - Springer
… The second aim this paper is then to shown that gradient pointwise estimates via non-
linear potentials … 3 we prove a few estimates clarifying the relationships between the non-liner …

Gradient estimates below the duality exponent

G Mingione - Mathematische Annalen, 2010 - Springer
… -linear potential theoretic analog of classical potential theory … tions via Riesz potentials, in
turn yielding optimal local estimates … In fact we also derive sharp estimates in Lorentz spaces, …

Gradient estimates in non-linear potential theory

F Duzaar, G Mingione - arXiv preprint arXiv:0906.4943, 2009 - arxiv.org
… We conclude with the zero order potential estimate, which applies to general equations of
the type (3.1) when considered with a measurable dependence upon the coefficients (x, t). The …

Gradient regularity and first-order potential estimates for a class of nonlocal equations

T Kuusi, S Nowak, Y Sire - arXiv preprint arXiv:2212.01950, 2022 - arxiv.org
… These regularity estimates can be considered to be … the gradient potential estimate we
prove yields precise control of the size of ∇u in terms of the data, leading to sharp estimates in …

Gradient estimates for potentials of invertible gradient–mappings on the sphere

P Delanoë, G Loeper - Calculus of Variations and Partial Differential …, 2006 - Springer
… 3 Gradient estimates via a classical approach This section contains a pde approach to
gradient estimates for potentials of C1 gradient-diffeomorphisms on the sphere equipped with a …

[图书][B] Stochastic gradient estimation

MC Fu - 2015 - Springer
… for estimating gradients, which are central to gradient-based … on the direct gradient estimation
techniques of perturbation … Recent work on quantile sensitivity estimation is summarized…

Monte carlo gradient estimation in machine learning

S Mohamed, M Rosca, M Figurnov, A Mnih - Journal of Machine Learning …, 2020 - jmlr.org
estimate of the function value; instead of calling for the gradient, we ask for an estimate of the
gradient; … will ask for an estimate of the Hessian; all these estimates are random variables. …