Cauchy problem for the Korteweg-de Vries equation in the case of a nonsmooth unbounded initial function
type: Item
instance of: scholarly article
title: Cauchy problem for the Korteweg-de Vries equation in the case of a nonsmooth unbounded initial function
zbMATH Open document ID: 1156.35080
DOI: 10.1134/S0001434608010136
published in: Mathematical Notes
publication date: 2008-10-16T00:00:00Z
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 35B65
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 5352323
zbMATH Keywords: Korteweg-de Vries equation
zbMATH Keywords: Cauchy problem
zbMATH Keywords: Burgers equation
zbMATH Keywords: Banach space
zbMATH Keywords: gas-dynamic problem
zbMATH Keywords: line of weak discontinuity
zbMATH Keywords: Bochner measurable mapping
author: Andrei V. Faminskii
MaRDI profile type: Publication
cites work: On the influence of small dissipation on solutions of a hyperbolic system that have a weak discontinuity
cites work: The effect of weak dissipation on the solution of the problem of shock-free compression of a planar gas layer
cites work: Q5692032
cites work: The existence of unbounded solutions of the korteweg‐de vries equation
cites work: Q3700177
cites work: Q3034231
cites work: Global solutions for the KdV equation with unbounded data
cites work: Q4777920
cites work: Cauchy problem for the Korteweg-de Vries equation and its generalizations
description: scientific article; zbMATH DE number 5352323