Lower semicontinuity of nonlocal $L^\infty $ energies on $SBV_0(I)$

We characterize the lower-semicontinuity of nonlocal one-dimensional energies of the type \[ \operatorname{ess\;sup}_{(s,t) \in I\times I} h\bigl ([u](s), [u](t)\bigr ), \] where $I$ is an open and bounded interval in the real line, $u \in \mathit{SBV_{\mathrm{0}}}(I)$ and $[u](r):=u(r^+)- u(r^-)$,...

書目詳細資料
發表在:	Comptes Rendus. Mathématique
Main Authors:	Matias, José, Santos, Pedro Miguel, Zappale, Elvira
格式:	Article
語言:	英语
出版:	Académie des sciences 2025-05-01
主題:	Cartesian submaximality nonlocal $L^\infty $ energies interfacial energy lower semicontinuity nonlocal gradients supremal functionals
在線閱讀:	https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.726/

相似書籍

On lower semicontinuity of the restricted center multifunction
由: Devidas Pai
出版: (2009-02-01)

The Nonlocal Almgren Problem
由: Emanuel Indrei
出版: (2025-08-01)

Consistently Semicontinuous Dcpo
由: Wang Di, et al.
出版: (2016-01-01)

Epi-lower semicontinuous mappings and their properties (in Ukrainian)
由: A. V. Dovzhenko, et al.
出版: (2011-07-01)

The coherator $\Theta^{\infty}_W$ of cubical weak $\infty$-categories with connections
由: Camell Kachour
出版: (2024-07-01)

A note on non lower semicontinuous perimeter functionals on partitions
由: Annibale Magni, et al.
出版: (2016-08-01)

Advances of Quantum Key Distribution and Network Nonlocality
由: Minming Geng
出版: (2025-09-01)

Approximate controllability of evolution hemivariational inequalities under nonlocal conditions
由: Yongwei Jia
出版: (2025-02-01)

Towards an equivalence between maximal entanglement and maximal quantum nonlocality
由: Victoria Lipinska, et al.
出版: (2018-01-01)

Nonlocal Lagrange multipliers and transport densities
由: Assis Azevedo, et al.
出版: (2024-08-01)

Nonlocal Metric Dimension of Windmill Graph
由: Fithri Annisatun Lathifah
出版: (2025-11-01)

A lower semicontinuity result for linearised elasto-plasticity coupled with damage in <em>W</em><sup>1,<em>γ</em></sup>, <em>γ</em> > 1
由: Vito Crismale, et al.
出版: (2020-05-01)

The Case for Nonlocal Modifications of Gravity
由: Richard P. Woodard
出版: (2018-08-01)

Nonlocal Calculus-Based Macroscopic Traffic Model: Development, Analysis, and Validation
由: Pushkin Kachroo, et al.
出版: (2023-01-01)

Formulation, analysis and computation of an optimization-based local-to-nonlocal coupling method
由: Marta D’Elia, et al.
出版: (2021-02-01)

Wave propagation analysis in transversely isotropic piezoelastic medium based on nonlocal strain gradient theory
由: Trinh Thi Thanh Hue, et al.
出版: (2023-12-01)

Nonlocal General Relativity
由: Bahram Mashhoon
出版: (2014-12-01)

Static bending analysis of BDFG nanobeams by nonlocal couple stress theory and nonlocal strain gradient theory
由: Minhaj Uddin Mahmood Siddique, et al.
出版: (2024-12-01)

Peridynamic modeling of nonlocal degrading interfaces in composites
由: Marie Laurien, et al.
出版: (2023-02-01)

Structural symmetry within nonlocal integral elasticity: theoretical issues and computational strategies
由: Pisano Aurora Angela, et al.
出版: (2017-01-01)

DYNAMIC MODEL OF BEAM DEFORMATION WITH CONSIDER NONLOCAL IN TIME ELASTIC PROPERTIES OF THE MATERIAL
由: Vladimir Sidorov, et al.
出版: (2022-12-01)

Regularity criterion for 3D nematic liquid crystal flows in terms of finite frequency parts in B ˙ ∞ , ∞ − 1 $\dot{B}_{\infty,\infty }^{-1}$
由: Xiaoli Chen, et al.
出版: (2021-02-01)

Stability of traveling wave solutions for a nonlocal Lotka-Volterra model
由: Xixia Ma, et al.
出版: (2024-01-01)

CALIBRATION OF THE NONLOCAL DYNAMIC DEFORMATION MODEL OF A FLEXURAL BEAM BASED ON NUMERICAL EXPERIMENT RESULTS
由: Vladimir Sidorov, et al.
出版: (2024-06-01)

Elastostatics of Bernoulli–Euler Beams Resting on Displacement-Driven Nonlocal Foundation
由: Marzia Sara Vaccaro, et al.
出版: (2021-02-01)

Genuine hidden nonlocality without entanglement: from the perspective of local discrimination
由: Mao-Sheng Li, et al.
出版: (2022-01-01)

Riemann-Hilbert approach for the integrable nonlocal nonlinear Schr\"odinger equation with step-like initial data
由: Ya. Rybalko, et al.
出版: (2018-12-01)

Entanglement without hidden nonlocality
由: Flavien Hirsch, et al.
出版: (2016-01-01)

Stability Analysis of Continuous Waves in Nonlocal Random Nonlinear Media
由: Maxim A. Molchan
出版: (2007-08-01)

Existence, regularity and upper semicontinuity of pullback attractors for the evolution process associated to a neural field model
由: Flank David Bezerra, et al.
出版: (2017-05-01)

A Bound Preserving Energy Stable Scheme for a Nonlocal Cahn–Hilliard Equation
由: Lyons, Rainey, et al.
出版: (2024-11-01)

The stability of minimal solution sets for set optimization problems via improvement sets
由: Taiyong Li, et al.
出版: (2023-05-01)

Enhancing quantum time transfer security: detecting intercept-resend attacks with energy-time entanglement
由: Runai Quan, et al.
出版: (2024-01-01)

Global existence and blow-up analysis for parabolic equations with nonlocal source and nonlinear boundary conditions
由: Wei Kou, et al.
出版: (2020-02-01)

Upper semicontinuity of uniform attractors for nonclassical diffusion equations
由: Yonghai Wang, et al.
出版: (2017-06-01)

Toward Nonlocal Electrodynamics of Accelerated Systems
由: Bahram Mashhoon
出版: (2020-12-01)

NONLOCAL IN TIME DYNAMIC DEFORMATION MODEL AND ITS CALIBRATION BASED ON THE BEAM VIBRATION EXPERIMENT RESULTS
由: Vladimir Sidorov, et al.
出版: (2025-06-01)

On a lower continuity of upper continuous mappings with values in the Sorgenfrey line(in Ukrainian)
由: O. V. Maslyuchenko, et al.
出版: (2013-10-01)

Dispersion equation of Rayleigh waves in transversely isotropic nonlocal piezoelastic solids half-space
由: Do Xuan Tung
出版: (2019-12-01)

Effects of nonlocality and two temperature in a nonlocal thermoelastic solid due to ramp type heat source
由: Parveen Lata, et al.
出版: (2020-01-01)