Results 41 to 50 of about 425 (153)
$H_\infty$-calculus for elliptic operators with nonsmooth coefficients
Differential and Integral Equations, 1997 The authors consider general systems of elliptic operators on \(R^n\) and on compact manifolds. They prove under minimal regularity assumptions on the coefficients that there exists a bounded holomorphic functional calculus in \(L_p\) spaces which was introduced by \textit{A. McIntosh} [Operator theory and partial differential equations, Proc.
Duong, Xuan T., Simonett, Gieri
openaire +3 more sources
Calculus of directional coderivatives and normal cones in Asplund spaces [PDF]
, 2017 We study the directional Mordukhovich normal cones to nonsmooth sets, coderivatives of set-valued mappings in Asplund spaces and establish extensive calculus results on these constructions under various operations of sets and mappings.
Wang, Bingwu, Long, Pujun, Yang, Xinmin
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Vector Field‐Based Collision‐Free Navigation in Tunnel‐Like Environments
Journal of Field Robotics, Volume 43, Issue 3, Page 2521-2547, May 2026.ABSTRACT Tunnel‐like environments, renowned for their vast scale, confined spaces, and limited visibility, present significant challenges for autonomous robot navigation. This study addresses the critical issue of guiding robots through such environments while ensuring collision‐free navigation and maintaining a specified safety margin from both tunnel
Bao Jianjun +5 more
wiley +1 more source
Advanced Intelligent Discovery, Volume 2, Issue 2, April 2026.This work presents a novel generative artificial intelligence (AI) framework for inverse alloy design through operations (optimization and diffusion) within learned compact latent space from variational autoencoder (VAE). The proposed work addresses challenges of limited data, nonuniqueness solutions, and high‐dimensional spaces.
Mohammad Abu‐Mualla +4 more
wiley +1 more source
Bio‐Inspired Optimisation Methods Applied to Low Carbon Power and Energy Problems: A Survey
CAAI Transactions on Intelligence Technology, Volume 11, Issue 2, Page 297-315, April 2026.ABSTRACT Bio‐inspired optimisation methods have been widely applied to complex real‐world problems, particularly in low‐carbon power and energy systems, where optimisation tasks often involve high‐dimensional, constrained and mixed‐integer characteristics.
Tianyu Hu +4 more
wiley +1 more source
Microlocal regularity theorems for nonsmooth pseudodifferential operators and applications to nonlinear problems [PDF]
, 1984 The authors develop a calculus of pseudodifferential operators with nonsmooth coefficients in order to study the regularity of solutions to linear equations P ( x , D ) u = f
Michael Beals, Michael Reed
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Structural Feature Selection in Common Spatial Patterns Using Adaptive Sparse Group Lasso
CAAI Transactions on Intelligence Technology, Volume 11, Issue 2, Page 367-384, April 2026.ABSTRACT With the advancement of brain–computer interfaces (BCI), motor imagery (MI) electroencephalogram (EEG) decoding can greatly benefit from spatial filtering features derived from common spatial patterns (CSP). However, CSP‐based features often exhibit high redundancy and intersubject variability.
Yadi Wang +4 more
wiley +1 more source
Nonsmooth calculus in finite dimensions [PDF]
The notion of subgradient, originally defined for convex functions, has in recent years been extended, via the “upper subderivative,” to cover functions that are not necessarily convex or even continuous.
J. M. Borwein (21268130) +1 more
core
Matrix convex functions with applications to weighted centers for semidefinite programming [PDF]
In this paper, we develop various calculus rules for general smooth matrix-valued functions and for the class of matrix convex (or concave) functions first introduced by Loewner and Kraus in 1930s.
Zhang, S., Luo, Z-Q., Brinkhuis, J.
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Nonsmooth Analysis of doubly nonlinear evolution equations [PDF]
, 2011 . In this paper we analyze a broad class of abstract doubly nonlinear evolution equa-tions in Banach spaces, driven by nonsmooth and nonconvex energies. We provide some general sufficient conditions, on the dissipation potential and the energy functional,
Mielke Alexander +8 more
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