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Well-Posedness and Optimality

1999
Mathematical modeling of soil venting leads to a system of partial differential equations. Before starting all computations, one must do the qualitative and quantitative analysis of solutions for corresponding problems (at least in simple situations as the study cases).
Horst H. Gerke   +4 more
openaire   +1 more source

Well-Posedness and Porosity

2010
We recall the concept of porosity [10, 26, 27, 84, 97, 98, 112]. Let (Y, d) be a complete metric space. We denote by Bd(y, r) the closed ball of center \(y\ \in\ Y,\) and radius r > 0. A subset \(E \subset Y\) is called porous with respect to d (or just porous if the metric is understood) if there exist \(\alpha \in\) (0, 1] and r0 > 0 such that for ...
openaire   +1 more source

Well-posedness of Nonconvex Integral Functionals

Proceedings of the 44th IEEE Conference on Decision and Control, 2004
We find a sufficient condition which does not involve global convexity, guaranteeing well-posedness in a strong sense of the minimization of a multiple integral on the Sobolev space $W^{1,1}(\Omega;\mathbb{R}^m)$ with boundary datum equal to zero. In particular we apply our result to some nonconvex problems recently studied: functionals depending only ...
openaire   +2 more sources

Deep Learning on Monocular Object Pose Detection and Tracking: A Comprehensive Overview

ACM Computing Surveys, 2023
Hongyan Liu, Jun He, Zhaoxin Fan
exaly  

AlphaPose: Whole-Body Regional Multi-Person Pose Estimation and Tracking in Real-Time

IEEE Transactions on Pattern Analysis and Machine Intelligence, 2023
Hao-Shu Fang, Cewu Lu, Yong-Lu Li
exaly  

Simultaneously-Collected Multimodal Lying Pose Dataset: Enabling In-Bed Human Pose Monitoring

IEEE Transactions on Pattern Analysis and Machine Intelligence, 2023
Sarah Ostadabbas   +2 more
exaly  

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