arXiv Open Access 2020

On Korn-Maxwell-Sobolev Inequalities

Franz Gmeineder Daniel Spector

Lihat Sumber

Abstrak

We establish a family of inequalities that allow one to estimate the $\mathrm{L}^{q}$-norm of a matrix-valued field by the $\mathrm{L}^{q}$-norm of an elliptic part and the $\mathrm{L}^{p}$-norm of the matrix-valued curl. This particularly extends previous work by Neff et al. and, as a main novelty, is applicable in the regime $p=1$.

Topik & Kata Kunci

math.AP

Penulis (2)

Franz Gmeineder

Daniel Spector

Format Sitasi

APA MLA BibTeX

Gmeineder, F., Spector, D. (2020). On Korn-Maxwell-Sobolev Inequalities. https://arxiv.org/abs/2010.03353

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2020
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓