Hörmander Spaces, Interpolation, and Elliptic Problems

Details Hörmander Spaces, Interpolation, and Elliptic Problems Hörmander Spaces, Interpolation, and Elliptic Problems

2011-06-16

arxiv.org/abs/1106.3214v1

Mathematics

Functional Analysis

Scientific paper

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 H\"ormander 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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