Complex powers of second order non-homogeneous elliptic differential operators with degenerating symbols in the spaces \(L_p(\mathbb{R}^n)\)
type: Item
instance of: scholarly article
title: Complex powers of second order non-homogeneous elliptic differential operators with degenerating symbols in the spaces \(L_p(\mathbb{R}^n)\)
zbMATH Open document ID: 1001.31003
author: V. Nogin
author: Alexey N. Karapetyants
published in: Boletín de la Sociedad Matemática Mexicana. Third Series
publication date: 2002-05-22T00:00:00Z
review text: The authors study complex powers of second-order elliptic differential operators where the principal part has constant real coefficients whereas the first-order terms might have complex coefficients. All considerations are on \(\mathbb{R}^n\). They prove that the negative powers are realized as potential type operators and the positive powers as inverses of approximate operators. The domains of positive powers are determined.
reviewed by: Niels Jacob
Mathematics Subject Classification ID: 31B10
Mathematics Subject Classification ID: 47A58
Mathematics Subject Classification ID: 47G10
zbMATH DE Number: 1744137
zbMATH Keywords: potential type operators
zbMATH Keywords: fractional powers of differential operators
zbMATH Keywords: second-order elliptic operation
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1744137