English

Bounds on the Trace Mappings of LD-Fields

Analysis of PDEs 2007-05-23 v1 Mathematical Physics math.MP

Abstract

Bounds on the trace mappings defined on the Sobolev space W^{1,1}(Omega) and the space LD(Omega)LD(Omega) of integrable stains are obtained. Such bounds correspond to stress concentration--the ratio between the maximal stress in a body and the maximum of the traction applied to its boundary. The analysis leading to the bounds may be described in the mechanical context of stress theory and stress concentration.

Cite

@article{arxiv.math/0505006,
  title  = {Bounds on the Trace Mappings of LD-Fields},
  author = {Ronen Peretz and Reuven Segev},
  journal= {arXiv preprint arXiv:math/0505006},
  year   = {2007}
}

Comments

22 pages

R2 v1 2026-07-22T17:18:47.634Z