Hörmander Spaces, Interpolation, and Elliptic Problems

2011/06/16 by V. A. Mikhailets, Mikhailets, V. A., A. A. Murach +1 · 2 citations
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA) #math.AP #math.FA

paper · pdf · doi:10.48550/arxiv.1106.3214

arxiv created 2011/06/16 · arxiv updated 2011/06/17

Abstract

The research monograph gives the first systematic exposition of the elliptic (scalar and matrix) operators theory and elliptic boundary-value problems in the scales of Hilbert spaces of Hörmander of the functions/distributions of arbitrary positive or negative smoothness. The book is based on the method of interpolation with a functional parameter for the abstract and Sobolev unitary spaces. Some results are also new for the Sobolev scales. The monograph is intended for the researches, professors and PhD students.

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