Douglis-Nirenberg elliptic systems in Hörmander spaces

• Datum: 2012
• Hauptverfasser: Zinchenko, T. N., Murach, A. A., Зинченко, Т. Н., Мурач, А. А.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2012
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/2674
• Назва журналу: 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...