Results 21 to 30 of about 250 (186)
Strong continuity for the 2D Euler equations [PDF]
, 2015 We prove two results of strong continuity with respect to the initial datum for bounded solutions to the Euler equations in vorticity form. The first result provides sequential continuity and holds for a general bounded solution.
Spirito, Stefano +2 more
core +1 more source
On Lipschitz Retraction of Finite Subsets of Normed Spaces [PDF]
, 2019 If $X$ is a metric space, then its finite subset spaces $X(n)$ form a nested sequence under natural isometric embeddings $X = X(1)\subset X(2) \subset \cdots$.
Akofor, Earnest
core +2 more sources
New Weak Error bounds and expansions for Optimal Quantization [PDF]
, 2020 International audienceWe propose new weak error bounds and expansion in dimension one for optimal quantization-based cubature formula for different classes of functions, such that piecewise affine functions, Lipschitz convex functions or differentiable ...
Montes, Thibaut +2 more
core +1 more source
Operators of p-evolution with nonregular coefficients in the time variable [PDF]
, 2004 We study the Cauchy problem for a class of p-evolution operators P(t,x,Dt,Dx) in [0,T]×Rn,p>1, with less than C1 coefficients with respect to the time variable.According to Lipschitz, log-lipschitz or Hölder regularity we find well-posedness in Sobolev ...
Massimo Cicognani +3 more
core +1 more source
On the preserved extremal structure of Lipschitz-free spaces [PDF]
, 2019 [EN] We characterize preserved extreme points of the unit ball of Lipschitz-free spaces F(X) in terms of simple geometric conditions on the underlying metric space (X,d).
Guirao Sánchez, Antonio José +3 more
core +1 more source
Cubature Formulas for Oscillatory Integrals with Given Function Traces on Lines
Кібернетика та комп'ютерні технологіїIntroduction. Numerical integration of rapidly oscillating multivariable functions plays an important role in applied mathematics, particularly in image processing, computed tomography, and mathematical modeling.
Yevheniia Khurdei, Vladyslav Ivanov
doaj +1 more source
Advanced Robotics Research, EarlyView.This work presents a state‐adaptive Koopman linear quadratic regulator framework for real‐time manipulation of a deformable swab tool in robotic environmental sampling. By combining Koopman linearization, tactile sensing, and centroid‐based force regulation, the system maintains stable contact forces and high coverage across flat and inclined surfaces.
Siavash Mahmoudi +2 more
wiley +1 more source
Programmable Flocks: Hierarchical Swarm Control via Dynamic Parameter Injection
Advanced Intelligent Systems, EarlyView.We present a method for the control of robot swarms which allows the shaping and the translation of patterns of simple robots (“smart particles”), using two types of devices. These two types represent a hierarchy: a larger group of simple, oblivious robots (which we call the workers) that is governed by simple local attraction forces and a smaller ...
Vivek Shankar Varadharajan +1 more
wiley +1 more source
Titchmarsh theorems for Hölder-Lipschitz functions on profinite groups [PDF]
In this note we extend to metrizable profinite groups the classical theorems of Titchmarsh on the Fourier transform of H\"older-Lipschitz functions. This generalizes the results of Younis on compact zero-dimensional abelian groups to the noncommutative ...
Velasquez Rodriguez, Juan Pablo
core +1 more source
Front Propagation Through a Perforated Wall
Communications on Pure and Applied Mathematics, EarlyView.ABSTRACT We consider a bistable reaction– diffusion equation ut=Δu+f(u)$u_t=\Delta u +f(u)$ on RN${\mathbb {R}}^N$ in the presence of an obstacle K$K$, which is a wall of infinite span with many holes. More precisely, K$K$ is a closed subset of RN${\mathbb {R}}^N$ with smooth boundary such that its projection onto the x1$x_1$‐axis is bounded and that ...
Henri Berestycki +2 more
wiley +1 more source