Douglis-Nirenberg elliptic systems in Hörmander spaces

• Date: 2012
• Main Authors: Zinchenko, T. N., Murach, A. A., Зинченко, Т. Н., Мурач, А. А.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2012
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2674
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We investigate Douglis-Nirenberg uniformly elliptic systems in $\mathbb{R}^n$ on the class of Hormander Hilbert spaces $H^{\varphi}$, where $\varphi$ is an $RO$-varying function of scalar argument. An a priori estimate for solutions is proved, and their interior regularity is studied. A sufficient...