On a solution of a initial boundary value problem for a nonlinear equation
type: Item
instance of: scholarly article
title: On a solution of a initial boundary value problem for a nonlinear equation
zbMATH Open document ID: 0916.35112
author: Andrei A. Kornev
published in: Moscow University Mathematics Bulletin
publication date: 1999-02-22T00:00:00Z
review text: Global existence and uniqueness theorems are proved for the equation describing the process of stationary plasma self-focusing under the natural restrictions on the smoothness of the domain boundary. During the proof, we obtain that there exists a conservation law for the norm of the strength vector for this model. Notice that, e.g., the Schrödinger equation with the cubic nonlinearity does not possess this property.
Mathematics Subject Classification ID: 35Q55
Mathematics Subject Classification ID: 76X05
Mathematics Subject Classification ID: 82D10
zbMATH DE Number: 1252811
zbMATH Keywords: existence
zbMATH Keywords: uniqueness
zbMATH Keywords: plasma self-focusing
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1252811