Results 31 to 40 of about 2,989,822 (277)
Boundary value problems on non-Lipschitz uniform domains: stability, compactness and the existence of optimal shapes [PDF]
Asymptotic Analysis, 2021 We study boundary value problems for bounded uniform domains in R n , n ⩾ 2 , with non-Lipschitz, and possibly fractal, boundaries. We prove Poincaré inequalities with uniform constants and trace terms for ( ε , ∞ ) -domains contained in a fixed bounded ...
Michael Hinz +2 more
semanticscholar +1 more source
Conformal Transformation of Uniform Domains Under Weights That Depend on Distance to The Boundary
Analysis and Geometry in Metric Spaces, 2022 The sphericalization procedure converts a Euclidean space into a compact sphere. In this note we propose a variant of this procedure for locally compact, rectifiably path-connected, non-complete, unbounded metric spaces by using conformal deformations ...
Gibara Ryan, Shanmugalingam Nageswari
doaj +1 more source
Comptes Rendus. Mathématique, 2023 We give, first, two new applications related to the range characterization of the range of trace operator in $H^2(\Omega )$. After this, we characterize the range of trace operator in the Sobolev spaces $ W^{3,p}(\Omega )$ when $\Omega $ is a connected ...
Aibèche, Aissa +2 more
doaj +1 more source
, 2015 Given a bounded domain $D \subset {\mathbb R}^n$ strictly starlike with respect to $0 \in D\,,$ we define a quasi-inversion w.r.t. the boundary $\partial D \,.$ We show that the quasi-inversion is bi-Lipschitz w.r.t.
Kalaj, David +2 more
core +1 more source
, 1997 This paper is concerned with the computation of the drag $T$ associated with a body traveling at uniform velocity in a fluid governed by the stationary Navier--Stokes equations.
J. A. Bello +3 more
semanticscholar +1 more source
Tangent Lines and Lipschitz Differentiability Spaces
Analysis and Geometry in Metric Spaces, 2016 We study the existence of tangent lines, i.e. subsets of the tangent space isometric to the real line, in tangent spaces of metric spaces.We first revisit the almost everywhere metric differentiability of Lipschitz continuous curves.
Cavalletti Fabio, Rajala Tapio
doaj +1 more source
Sparsest Univariate Learning Models Under Lipschitz Constraint
IEEE Open Journal of Signal Processing, 2022 Beside the minimizationof the prediction error, two of the most desirable properties of a regression scheme are stability and interpretability. Driven by these principles, we propose continuous-domain formulations for one-dimensional regression problems.
Shayan Aziznejad +2 more
doaj +1 more source
Boundedness of the gradient of a solution to the Neumann-Laplace problem in a convex domain [PDF]
, 2008 It is shown that solutions of the Neumann problem for the Poisson equation in an arbitrary convex $n$-dimensional domain are uniformly Lipschitz. Applications of this result to some aspects of regularity of solutions to the Neumann problem on convex ...
Maz'ya, Vladimir
core +3 more sources
Resolvent Estimates in L^p for the Stokes Operator in Lipschitz Domains
, 2012 We establish the $L^p$ resolvent estimates for the Stokes operator in Lipschitz domains in $R^d$, $d\ge 3$ for $|\frac{1}{p}-1/2|< \frac{1}{2d} +\epsilon$.
B. Dahlberg +26 more
core +1 more source
Analysis of segregated boundary-domain integral equations for BVPs with non-smooth coefficients on Lipschitz domains [PDF]
Boundary Value Problems, 2017 Segregated direct boundary-domain integral equations (BDIEs) based on a parametrix and associated with the Dirichlet and Neumann boundary value problems for the linear stationary diffusion partial differential equation with a variable Hölder-continuous ...
S. Mikhailov
semanticscholar +1 more source