Global existence results for eikonal equation with \(BV\) initial data

DOI10.1007/s00030-015-0310-9zbMath1327.35066OpenAlexW2460901587MaRDI QIDQ497413

Rachida Boudjerada, Ahmad El Hajj

Publication date: 24 September 2015

Published in: NoDEA. Nonlinear Differential Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00030-015-0310-9

zbMATH Keywords

one space dimensiondislocation dynamics\(BV\) estimatediscontinuous viscosity solutionnon-local transport equation

Mathematics Subject Classification ID

Existence problems for PDEs: global existence, local existence, non-existence (35A01) Hamilton-Jacobi equations in mechanics (70H20) Initial value problems for nonlinear first-order PDEs (35F25) PDEs in connection with mechanics of deformable solids (35Q74) Hamilton-Jacobi equations (35F21)

Related Items

Global \(BV\) solution for a non-local coupled system modeling the dynamics of dislocation densities, Global solution for a non-local eikonal equation modelling dislocation dynamics, Existence and uniqueness of continuous solution for a non-local coupled system modeling the dynamics of dislocation densities, \(BV\) solution for a non-linear Hamilton-Jacobi system, Continuous solution for a non-linear eikonal system, Global existence to a diagonal hyperbolic system for any BV initial data, Convergent semi-explicit scheme to a non-linear eikonal system

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