Results 21 to 30 of about 3,277 (79)

Layer potential theory for the anisotropic Stokes system with variable L∞ symmetrically elliptic tensor coefficient

Mathematical Methods in the Applied Sciences, Volume 44, Issue 12, Page 9641-9674, August 2021., 2021
The aim of this paper is to develop a layer potential theory in L2‐based weighted Sobolev spaces on Lipschitz bounded and exterior domains of ℝn, n ≥ 3, for the anisotropic Stokes system with L∞ viscosity tensor coefficient satisfying an ellipticity condition for symmetric matrices with zero matrix trace.
Mirela Kohr, Sergey E. Mikhailov, Wolfgang L. Wendland   +2 more
wiley   +1 more source

Tropical Lagrangian hypersurfaces are unobstructed

Journal of Topology, Volume 13, Issue 4, Page 1409-1454, December 2020., 2020
Abstract We produce for each tropical hypersurface V(ϕ)⊂Q=Rn a Lagrangian L(ϕ)⊂(C∗)n whose moment map projection is a tropical amoeba of V(ϕ). When these Lagrangians are admissible in the Fukaya–Seidel category, we show that they are unobstructed objects of the Fukaya category, and mirror to sheaves supported on complex hypersurfaces in a toric mirror.
Jeffrey Hicks
wiley   +1 more source

Jacobian Nonsingularity in Nonlinear Symmetric Conic Programming Problems and Its Application

Mathematical Problems in Engineering, Volume 2020, Issue 1, 2020., 2020
This paper considers the nonlinear symmetric conic programming (NSCP) problems. Firstly, a type of strong sufficient optimality condition for NSCP problems in terms of a linear‐quadratic term is introduced. Then, a sufficient condition of the nonsingularity of Clarke’s generalized Jacobian of the Karush–Kuhn–Tucker (KKT) system is demonstrated. At last,
Yun Wang, Dezhou Kong, Xinguang Zhang
wiley   +1 more source

Topology, isomorphic smoothness and polyhedrality in Banach spaces [PDF]

Topology and its Applications, 2019
In recent decades, topology has come to play an increasing role in some geometric aspects of Banach space theory. The class of so-called $w^*$-locally relatively compact sets was introduced recently by Fonf, Pallares, Troyanski and the author, and were found to be a useful topological tool in the theory of isomorphic smoothness and polyhedrality in ...
openaire   +3 more sources

Non-expansive bijections between unit balls of Banach spaces (A technical version with some boring proofs included)

, 2018
It is known that if $M$ is a finite-dimensional Banach space, or a strictly convex space, or the space $\ell_1$, then every non-expansive bijection $F: B_M \to B_M$ is an isometry.
Zavarzina, Olesia
core   +1 more source

Smoothed Moreau‐Yosida Tensor‐Train Approximation of State‐Constrained Optimization Problems Under Uncertainty

Numerical Linear Algebra with Applications, Volume 32, Issue 4, August 2025.
ABSTRACT We propose an algorithm to solve optimization problems constrained by ordinary or partial differential equations under uncertainty, with additional almost sure inequality constraints on the state variable. To alleviate the computational burden of high‐dimensional random variables, we approximate all random fields by the tensor‐train (TT ...
Harbir Antil, Sergey Dolgov, Akwum Onwunta   +2 more
wiley   +1 more source

On an Erdős similarity problem in the large

Bulletin of the London Mathematical Society, Volume 57, Issue 6, Page 1801-1818, June 2025.
Abstract In a recent paper, Kolountzakis and Papageorgiou ask if for every ε∈(0,1]$\epsilon \in (0,1]$, there exists a set S⊆R$S \subseteq \mathbb {R}$ such that |S∩I|⩾1−ε$\vert S \cap I\vert \geqslant 1 - \epsilon$ for every interval I⊂R$I \subset \mathbb {R}$ with unit length, but that does not contain any affine copy of a given increasing sequence ...
Xiang Gao, Yuveshen Mooroogen, Chi Hoi Yip   +2 more
wiley   +1 more source

Non-Archimedean valued quasi-invariant descending at infinity measures

, 2004
The article is devoted to the investigation of particular classes of quasi-invariant descending at infinity measures on linear spaces over non-Archimedean fields such that measures are with values in non-Archimedean fields also.
Ludkovsky, S. V.
core   +4 more sources

ℓp$\ell ^p$ metrics on cell complexes

Journal of the London Mathematical Society, Volume 111, Issue 1, January 2025.
Abstract Motivated by the observation that groups can be effectively studied using metric spaces modelled on ℓ1$\ell ^1$, ℓ2$\ell ^2$ and ℓ∞$\ell ^\infty$ geometry, we consider cell complexes equipped with an ℓp$\ell ^p$ metric for arbitrary p$p$. Under weak conditions that can be checked locally, we establish non‐positive curvature properties of these
Thomas Haettel, Nima Hoda, Harry Petyt
wiley   +1 more source

A subsequence characterization of sequences spanning isomorphically polyhedral Banach spaces [PDF]

Studia Mathematica, 1998
Let $(x_n)$ be a sequence in a Banach space $X$ which does not converge in norm, and let $E$ be an isomorphically precisely norming set for $X$ such that \[ \sum_n |x^*(x_{n+1}-x_n)|< \infty, \; \forall x^* \in E. \qquad (*) \] Then there exists a subsequence of $(x_n)$ which spans an isomorphically polyhedral Banach space.
openaire   +3 more sources