Global solution for a non-local eikonal equation modelling dislocation dynamics
type: Item
instance of: scholarly article
title: Global solution for a non-local eikonal equation modelling dislocation dynamics
zbMATH Open document ID: 1383.35050
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2018-02-13T00:00:00Z
Mathematics Subject Classification ID: 35F21
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 74G25
Mathematics Subject Classification ID: 35F20
Mathematics Subject Classification ID: 70H20
Mathematics Subject Classification ID: 35D40
Mathematics Subject Classification ID: 35R09
zbMATH DE Number: 6837721
zbMATH Keywords: non-local transport equation
zbMATH Keywords: gradient entropy estimate
author: Ahmad El Hajj
MaRDI profile type: Publication
full work available at URL: j.na.2017.11.012
OpenAlex ID: W2776342216
cites work: Q4073917
cites work: Existence and uniqueness for dislocation dynamics with nonnegative velocity
cites work: Dislocation dynamics: Short-time existence and uniqueness of the solution
cites work: Discontinuous viscosity solutions of first-order Hamilton-Jacobi equations: a guided visit
cites work: Viscosity solutions of Hamilton-Jacobi equations
cites work: A new stability result for viscosity solutions of nonlinear parabolic equations with weak convergence in time
cites work: Global Existence Results and Uniqueness for Dislocation Equations
cites work: Uniqueness results for nonlocal Hamilton-Jacobi equations
cites work: Nonlocal First-Order Hamilton–Jacobi Equations Modelling Dislocations Dynamics
cites work: Global existence results for eikonal equation with \(BV\) initial data
cites work: Existence result for a one-dimensional eikonal equation
cites work: Global existence for a system of nonlinear and non-local transport equations describing the dynamics of dislocation densities
cites work: A Generalized Fast Marching Method for Dislocation Dynamics
cites work: User’s guide to viscosity solutions of second order partial differential equations
cites work: Viscosity Solutions of Hamilton-Jacobi Equations
cites work: GLOBAL CONTINUOUS SOLUTIONS FOR DIAGONAL HYPERBOLIC SYSTEMS WITH LARGE AND MONOTONE DATA
cites work: Comparison Principle for a Generalized Fast Marching Method
cites work: Generalized fast marching method: applications to image segmentation
cites work: Q4354424
cites work: Semigroups of linear operators and applications to partial differential equations
cites work: Compact sets in the space \(L^ p(0,T;B)\)
DOI: 10.1016/J.NA.2017.11.012
description: scientific article; zbMATH DE number 6837721