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  1. Nonlinear Differential Equations and Applications NoDEA
  2. Nonlinear Differential Equations and Applications NoDEA : Volume 22
  3. Nonlinear Differential Equations and Applications NoDEA : Volume 22, Issue 4, August 2015
  4. Global existence results for eikonal equation with BV initial data
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Nonlinear Differential Equations and Applications NoDEA : Volume 23
Nonlinear Differential Equations and Applications NoDEA : Volume 22
Nonlinear Differential Equations and Applications NoDEA : Volume 22, Issue 6, December 2015
Nonlinear Differential Equations and Applications NoDEA : Volume 22, Issue 5, October 2015
Nonlinear Differential Equations and Applications NoDEA : Volume 22, Issue 4, August 2015
On a class of nonhomogeneous fractional quasilinear equations in $${\mathbb{R}^n}$$ R n with exponential growth
A control problem in phase transition modeling
On a multidimensional moving boundary problem governed by anomalous diffusion: analytical and numerical study
Periodic homogenization under a hypoellipticity condition
Energy decay for systems of semilinear wave equations with dissipative structure in two space dimensions
Dynamical solutions of singular parabolic equations modeling electrostatic MEMS
Bound states of a nonhomogeneous nonlinear Schrödinger equation with non symmetric potential
Uniqueness and non-degeneracy for a nuclear nonlinear Schrödinger equation
Existence and multiple solutions for a critical quasilinear equation with singular potentials
Multiplicity results for elliptic fractional equations with subcritical term
Non-radial sign-changing solutions for the Schrödinger–Poisson problem in the semiclassical limit
Generalized semiconcavity of the value function of a jump diffusion optimal control problem
Global attractor for the Navier–Stokes equations with fractional deconvolution
Local well-posedness of Yang–Mills equations in Lorenz gauge below the energy norm
Horseshoes in 3D equations with applications to Lotka–Volterra systems
The Benjamin–Bona–Mahony equation with dissipative memory
On the global well-posedness of a generalized 2D Boussinesq equations
Global existence results for eikonal equation with BV initial data
Nonzero radial solutions for a class of elliptic systems with nonlocal BCs on annular domains
Nonlinear Differential Equations and Applications NoDEA : Volume 22, Issue 3, June 2015
Nonlinear Differential Equations and Applications NoDEA : Volume 22, Issue 2, April 2015
Nonlinear Differential Equations and Applications NoDEA : Volume 22, Issue 1, February 2015
Nonlinear Differential Equations and Applications NoDEA : Volume 21
Nonlinear Differential Equations and Applications NoDEA : Volume 20
Nonlinear Differential Equations and Applications NoDEA : Volume 19
Nonlinear Differential Equations and Applications NoDEA : Volume 18
Nonlinear Differential Equations and Applications NoDEA : Volume 17
Nonlinear Differential Equations and Applications NoDEA : Volume 16
Nonlinear Differential Equations and Applications NoDEA : Volume 15
Nonlinear Differential Equations and Applications NoDEA : Volume 14
Nonlinear Differential Equations and Applications NoDEA : Volume 13
Nonlinear Differential Equations and Applications NoDEA : Volume 12
Nonlinear Differential Equations and Applications NoDEA : Volume 11
Nonlinear Differential Equations and Applications NoDEA : Volume 10
Nonlinear Differential Equations and Applications NoDEA : Volume 9
Nonlinear Differential Equations and Applications NoDEA : Volume 8
Nonlinear Differential Equations and Applications NoDEA : Volume 7
Nonlinear Differential Equations and Applications NoDEA : Volume 6
Nonlinear Differential Equations and Applications NoDEA : Volume 5
Nonlinear Differential Equations and Applications NoDEA : Volume 4

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Global existence results for eikonal equation with BV initial data

Content Provider SpringerLink
Author El Hajj, A. Boudjerada, R.
Copyright Year 2015
Abstract In this paper, we study a local and a non-local eikonal equations in one dimensional space describing the evolution of interfaces moving with non-signed velocity. For these equations, the global existence and uniqueness are available only of Lipschitz continuous viscosity solutions in some particular cases. In the present paper, we are interested in the study of the global in time existence of these equations, considering BV initial data. Based on a fundamental uniform BV estimate and the finite speed propagation property of these equations, we show, in a particular setting, global existence results of discontinuous viscosity solutions of this problem. An interesting application of these results is shown in the case of dislocation dynamics.
Ending Page 978
Page Count 32
Starting Page 947
File Format PDF
ISSN 10219722
e-ISSN 14209004
Journal Nonlinear Differential Equations and Applications NoDEA
Issue Number 4
Volume Number 22
Language English
Publisher Springer Basel
Publisher Date 2015-02-10
Publisher Place Basel
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Hamilton-Jacobi equations Existence problems: global existence, local existence, non-existence PDEs in connection with mechanics of deformable solids Non-local eikonal equation BV estimate Hamilton–Jacobi equation Non-local transport equation Analysis Discontinuous viscosity solution Dislocation dynamics Global existence of solutions Nonlinear first-order equations
Content Type Text
Resource Type Article
Subject Applied Mathematics Analysis
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