Results 131 to 140 of about 3,355,987 (326)
Domains with Lipschitz mapping functions
Let \(\Gamma\) be a closed Jordan curve in the \(\omega\)-plane, \(D=\{| \zeta |1\}.\) Let f map D conformally onto the interior of \(\Gamma\) and let \(f^*\) map \(D^*\) onto the exterior of \(\Gamma\). For \(\zeta_ 0\in \partial D,\) suppose that f and \(f^*\) are Lipschitz continuous at \(\zeta_ 0\), with \(f(\zeta_ 0)=f^*(z_ 0)=\omega_ 0,\) i.e ...
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On estimates of biharmonic functions on Lipschitz and convex domains [PDF]
Using Maz'ya type integral identities with power weights, we obtain new boundary estimates for biharmonic functions on Lipschitz and convex domains in $R^n$. For $n\ge 8$, combined with a result in \cite{S2}, these estimates lead to the solvability of the $L^p$ Dirichlet problem for the biharmonic equation on Lipschitz domains for a new range of $p ...
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Density‐Valued ARMA Models by Spline Mixtures
ABSTRACT This paper proposes a novel framework for modeling time series of probability density functions by extending autoregressive moving average (ARMA) models to density‐valued data. The method is based on a transformation approach, wherein each density function on a compact domain [0,1]d$$ {\left[0,1\right]}^d $$ is approximated by a B‐spline ...
Yasumasa Matsuda, Rei Iwafuchi
wiley +1 more source
PRISMA: PRoximal Iterative SMoothing Algorithm
Motivated by learning problems including max-norm regularized matrix completion and clustering, robust PCA and sparse inverse covariance selection, we propose a novel optimization algorithm for minimizing a convex objective which decomposes into three ...
Argyriou, Andreas +2 more
core +1 more source
Representation of $\alpha$-harmonic functions in Lipschitz domains
Let \((X_t, P^x)\) be the standard symmetric \(\alpha\)-stable Lévy process in \({\mathbb R}^n ...
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Robust CDF‐Filtering of a Location Parameter
ABSTRACT This paper introduces a novel framework for designing robust filters associated with signal plus noise models having symmetric observation density. The filters are obtained by a recursion where the innovation term is a transform of the cumulative distribution function of the residuals.
Leopoldo Catania +2 more
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$L^p$ Mapping Properties for the Cauchy-Riemann Equations on Lipschitz Domains Admitting Subelliptic Estimates [PDF]
Phillip S. Harrington, Yunus E. Zeytuncu
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A Note on Local Polynomial Regression for Time Series in Banach Spaces
ABSTRACT This work extends local polynomial regression to Banach space‐valued time series for estimating smoothly varying means and their derivatives in non‐stationary data. The asymptotic properties of both the standard and bias‐reduced Jackknife estimators are analyzed under mild moment conditions, establishing their convergence rates.
Florian Heinrichs
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We use essential limits inferior and superior of the nonlinear part of a discontinuous ODE to introduce some novel transversality conditions which imply that Filippov solutions are Carathéodory solutions.
Rodrigo López Pouso +1 more
doaj +1 more source
In this paper, we study a nonmatching grid finite element approximation of a class of elliptic variational inequalities with nonlinear source terms in the context of the Schwarz alternating domain decomposition.
Abida Harbi
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