Eikonal equations with discontinuities
type: Item
instance of: scholarly article
title: Eikonal equations with discontinuities
zbMATH Open document ID: 0854.35022
author: Richard T. II Newcomb
author: Jianzhong Su
published in: Differential and Integral Equations
publication date: 1997-01-20T00:00:00Z
review text: The authors consider the equation \(H(Du)= n(x)\) over an \(n\)-dimensional domain, where \(H\) is a convex functional, \(Du\) represents the \(x\)-gradient of \(u\) and \(n(x)\) is lower semicontinuous. A new notion of generalized solution for the problem under consideration is introduced and investigated from the variational approach. In particular, existence, uniqueness, stability and some comparison results are established for Dirichlet boundary conditions.
reviewed by: Leonid Lebedev
Mathematics Subject Classification ID: 35F30
Mathematics Subject Classification ID: 35D05
zbMATH DE Number: 811754
zbMATH Keywords: eikonal equation
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 811754