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 …
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 …
… 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 …
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 …
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, …
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 …
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
… 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 …
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 …
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…
techniques of perturbation … Recent work on quantile sensitivity estimation is summarized…
Monte carlo gradient estimation in machine learning
… 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. …
gradient; … will ask for an estimate of the Hessian; all these estimates are random variables. …