2017
Том 69
№ 6

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Douglis-Nirenberg elliptic systems in Hörmander spaces

Murach A. A., Zinchenko T. N.

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Abstract

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 condition for these systems to have the Fredholm property is given.

English version (Springer): Ukrainian Mathematical Journal 64 (2012), no. 11, pp 1672-1687.

Citation Example: Murach A. A., Zinchenko T. N. Douglis-Nirenberg elliptic systems in Hörmander spaces // Ukr. Mat. Zh. - 2012. - 64, № 11. - pp. 1477-1476.

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