Q1122695
type: Item
instance of: scholarly article
title: Calcul paradifférentiel précisé et applications à des équations aux dérivées partielles non semilinéaires. (Precise paradifferential calculus and applications to non-semilinear partial differential equations)
zbMATH Open document ID: 0676.35009
DOI: 10.1215/S0012-7094-88-05619-0
author: Jean-Yves Chemin
published in: Duke Mathematical Journal
publication date: 1988-01-01T00:00:00Z
review text: Regularity results for solutions of the equation \(f(x,u,\partial^{\beta}u)_{| \beta | \leq m}=0,\) \(f\in C^{\infty}\), are proved either in the first order case or in the case of dimension 2. To do this the author studies in a first stage a so- called precised paradifferential calculus.
Mathematics Subject Classification ID: 35B65
Mathematics Subject Classification ID: 35G20
Mathematics Subject Classification ID: 35F20
zbMATH DE Number: 4107245
zbMATH Keywords: non-semilinear
zbMATH Keywords: Regularity
zbMATH Keywords: first order
zbMATH Keywords: dimension 2
zbMATH Keywords: paradifferential calculus
reviewed by: Gheorghe Moroşanu
MaRDI profile type: Publication
cites work: Q3712659
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cites work: Nonlinear microlocal analysis of semilinear hyperbolic systems in one space dimension
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full work available at URL: s0012-7094-88-05619-0
OpenAlex ID: W1549904239
label: Calcul paradifférentiel précisé et applications à des équations aux dérivées partielles non semilinéaires. (Precise paradifferential calculus and applications to non-semilinear partial differential equations)
description: scientific article; zbMATH DE number 4107245