التفاصيل البيبلوغرافية
| العنوان: |
A Ne\v{c}as-Lions inequality with symmetric gradients on star-shaped domains based on a first order Babu\v{s}ka-Aziz inequality |
| المؤلفون: |
Botti, Michele, Mascotto, Lorenzo |
| سنة النشر: |
2024 |
| المجموعة: |
Mathematics |
| مصطلحات موضوعية: |
Mathematics - Analysis of PDEs, 35C05, 35C15, 35S05, 42B20, 42B37, 53A45 |
| الوصف: |
We prove a Ne\v{c}as-Lions inequality with symmetric gradients on two and three dimensional domains of diameter $R$ that are star-shaped with respect to a ball of radius $\rho$; the constants in the inequality are explicit with respect to $R$ and $\rho$. Crucial tools in deriving this inequality are a first order Babu\v{s}ka-Aziz inequality based on Bogovski\u{i}'s construction of a right-inverse of the divergence and Fourier transform techniques proposed by Dur\'an. As a byproduct, we derive arbitrary order estimates in arbitrary dimension for that operator. |
| نوع الوثيقة: |
Working Paper |
| URL الوصول: |
http://arxiv.org/abs/2408.00371 |
| رقم الانضمام: |
edsarx.2408.00371 |
| قاعدة البيانات: |
arXiv |