On the weak solutions and persistence properties for the variable depth KDV general equations
type: Item
instance of: scholarly article
title: On the weak solutions and persistence properties for the variable depth KDV general equations
zbMATH Open document ID: 1420.35312
author: Lili Fan
author: Wei Yan
published in: Nonlinear Analysis. Real World Applications
publication date: 2018-11-02T00:00:00Z
review text: This paper concerns the existence and uniqueness of weak solutions of a nonlinear evolution equation for surface waves in shallow water over uneven bottom. A sufficient condition for the existence of weak solutions of the equation in lower order Sobolev space $H^s(\mathbb{R})$ ($1 < s \le \frac{3}{2}$) is presented.
Mathematics Subject Classification ID: 35Q53
Mathematics Subject Classification ID: 35D30
Mathematics Subject Classification ID: 35D35
Mathematics Subject Classification ID: 35B45
Mathematics Subject Classification ID: 76B15
zbMATH DE Number: 6970754
zbMATH Keywords: variable depth KDV general equations
zbMATH Keywords: weak solution
zbMATH Keywords: persistence property
zbMATH Keywords: generalized Gronwall's inequalities
reviewed by: Ti-Jun Xiao
MaRDI profile type: Publication
full work available at URL: j.nonrwa.2018.05.002
OpenAlex ID: W2806459605
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DOI: 10.1016/J.NONRWA.2018.05.002
description: scientific article; zbMATH DE number 6970754