Nonlinear commutators and Jacobians
type: Item
instance of: scholarly article
title: Nonlinear commutators and Jacobians
zbMATH Open document ID: 0915.42007
DOI: 10.1007/BF02656485
author: Tadeusz Iwaniec
published in: The Journal of Fourier Analysis and Applications
publication date: 1999-06-20T00:00:00Z
full work available at URL: https://eudml.org/doc/59536
review text: In this interesting survey article the phenomena of cancellation in some nonlinear differential and integral expressions are studied. In the first part the cancellation phenomena in various types of linear and nonlinear commutators are studied. The results here are basic commutator results and the BMO--\(H^{1}\) duality. In the second part the commutator estimates are used in proving the higher order integrability of Jacobians and wedge products, and in establishing the compensated compactness principle. The third section is devoted to recent advances and application of the theory of Jacobians.
Mathematics Subject Classification ID: 42B20
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 49J40
zbMATH DE Number: 1143766
zbMATH Keywords: singular integrals
zbMATH Keywords: interpolation
zbMATH Keywords: differential forms
zbMATH Keywords: cancellation phenomena
zbMATH Keywords: Jacobians
zbMATH Keywords: compensated compactness principle
MaRDI profile type: Publication
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OpenAlex ID: W2080008098
description: scientific article; zbMATH DE number 1143766