Regularity of Finite Energy Deformations
Analysis of PDEs
2024-01-17 v2 Mathematical Physics
Functional Analysis
math.MP
Abstract
We review results of {\v{S}}ver\'{a}k, and Goldstein-Haj{\l}asz-Pakzad on how to show the continuity of functions in a critical Sobolev space with positive Jacobian. In the final chapter we expand on the theory of functions, showing a version of the change of variables theorem in this regularity, which generalizes the first step in {\v{S}}ver\'{a}k's proof to a co-dimension 1 case.
Keywords
Cite
@article{arxiv.2401.06253,
title = {Regularity of Finite Energy Deformations},
author = {Daniel Rosenblatt},
journal= {arXiv preprint arXiv:2401.06253},
year = {2024}
}
Comments
This work was done as part of a master's program on Hebrew University of Jerusalem Israel under the supervision of Cy Maor