Smoothing properties of some weak solutions of the Benjamin-Ono equation
type: Item
instance of: scholarly article
title: Smoothing properties of some weak solutions of the Benjamin-Ono equation
zbMATH Open document ID: 0727.35110
author: Michael Mudi Tom
published in: Differential and Integral Equations
publication date: 1990-01-01T00:00:00Z
review text: Weak solutions corresponding to initial data in \(H^{n/2}({\mathbb{R}})\), for \(n=2\) or 3, of the Benjamin-Ono equation are shown to exhibit a local smoothing effect in the spatial variable of 1/2 a derivative, almost everywhere in time. Similar results are shown to hold true for the intermediate long wave equation and Smith's equation.
Mathematics Subject Classification ID: 35Q35
Mathematics Subject Classification ID: 45K05
Mathematics Subject Classification ID: 35D10
zbMATH DE Number: 4200791
zbMATH Keywords: Benjamin-Ono equation
zbMATH Keywords: local smoothing
reviewed by: Alexander I. Bobenko
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4200791