scholarly journals Optimal domain spaces in Orlicz-Sobolev embeddings

2019 ◽  
Vol 68 (3) ◽  
pp. 925-966 ◽  
Author(s):  
Andrea Cianchi ◽  
Vit Musil
Keyword(s):  
Optimal Domain ◽  
Sobolev Embeddings

Magnetic Current Imaging Techniques: Comparative Case Studies

2004 ◽  
Author(s):  
Olivier Crépel ◽  
Philippe Descamps ◽  
Patrick Poirier ◽  
Romain Desplats ◽  
Philippe Perdu ◽  
...  
Keyword(s):  
Magnetic Field ◽  
Integrated Circuits ◽  
Case Studies ◽  
Flip Chip ◽  
Imaging Techniques ◽  
Optimal Domain ◽  
Magnetic Current ◽  
Comparative Case Studies ◽  
Current Flows

Abstract Magnetic field based techniques have shown great capabilities for investigation of current flows in integrated circuits (ICs). After reviewing the performances of SQUID, GMR (hard disk head technologies) and MTJ existing sensors, we will present results obtained on various case studies. This comparison will show the benefit of each approach according to each case study (packaged devices, flip-chip circuits, …). Finally we will discuss on the obtained results to classify current techniques, optimal domain of applications and advantages.

Automation and Management of Design Process of the Main Drive for an Innovative Fruits and Vegetables Washer

2021 ◽  
Vol 27 (1) ◽  
pp. 9-17
Author(s):  
V. P. Bui ◽  
◽  
S. S. Gavruishin ◽  
V. B. Phung ◽  
H. M. Dang ◽  
...  
Keyword(s):  
Design Process ◽  
Rational Design ◽  
Fruits And Vegetables ◽  
Rational Solution ◽  
Quality Criteria ◽  
Pareto Optimal ◽  
Optimal Domain ◽  
Wide Range ◽  
A New Technique ◽  
New Generation

A new technique is described, used by the authors to automate the design process of the main drive of a new generation machine intended for industrial washing of fruits and vegetables. To solve the problem of multi-criteria design, the original approach is proposed that uses interconnected mathematical models describing the dynamic behavior, strength reliability and functional characteristics of the machine in a unified information space. The generalized mathematical model includes 12 controlled parameters, 16 functional constraints, and 3 quality criteria. A genetic algorithm was used to find the space of Pareto-optimal solutions. The situational approach was used to select the final rational solution from a set of solutions belonging to the Pareto-optimal domain. The rational design of option the washer found using the proposed approach is compared with the existing ones. The proposed design methodology can be recommended for the design of a wide range of similar mechanical structures.

Riesz potentials and Sobolev embeddings on Morrey spaces of variable exponents

2011 ◽  
Vol 56 (7-9) ◽  
pp. 671-695 ◽  
Author(s):  
Yoshihiro Mizuta ◽  
Eiichi Nakai ◽  
Takao Ohno ◽  
Tetsu Shimomura
Keyword(s):  
Morrey Spaces ◽  
Variable Exponents ◽  
Riesz Potentials ◽  
Sobolev Embeddings

scholarly journals The sobolev embeddings are usually sharp

2005 ◽  
Vol 2005 (4) ◽  
pp. 437-448 ◽  
Author(s):  
A. Fraysse ◽  
S. Jaffard
Keyword(s):  
Sobolev Space ◽  
Besov Space ◽  
Hölder Regularity ◽  
Sobolev Embeddings ◽  
Residual Sets ◽  
Holder Regularity

Letx0∈ℝd; we study the Hölder regularity atx0of a generic function of the Sobolev spaceLp,s(ℝd)and of the Besov spaceBps,q(ℝd)fors−d/p>0. The setting for genericity is supplied here by HP-residual sets.

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