Front propagation problems with nonlocal terms, II

被引:8
|
作者
Pierre, C [1 ]
机构
[1] Univ Paris 09, ERS 2064, Ctr Rech Viabilite, F-75775 Paris 16, France
关键词
D O I
10.1006/jmaa.2001.7483
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We study the propagation of hyper surfaces Sigma (t) of R(N) satisfying the equation V = h(x, Ohm (t)), where V is the normal velocity of Sigma (t) at x, Ohm (t) is the interior of Sigma (t), and h is a given evolution law. We prove the the distance of generalized solutions and an inclusion principle for these generalized solutions. (C) 2001 Academic Press.
引用
收藏
页码:572 / 601
页数:30
相关论文
共 50 条
  • [21] A new approach to front propagation problems: Theory and applications
    Barles, G
    Souganidis, PE
    ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1998, 141 (03) : 237 - 296
  • [22] NONLOCAL STURM-LIOUVILLE PROBLEMS WITH INTEGRAL TERMS IN THE BOUNDARY CONDITIONS
    Kandemir, Mustafa
    Mukhtarov, Oktay Sh.
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2017,
  • [23] On Neumann problems for nonlocal Hamilton–Jacobi equations with dominating gradient terms
    Daria Ghilli
    Calculus of Variations and Partial Differential Equations, 2017, 56
  • [24] Continuous viscosity solutions for nonlocal Dirichlet problems with coercive gradient terms
    Gonzalo Dávila
    Alexander Quaas
    Erwin Topp
    Mathematische Annalen, 2017, 369 : 1211 - 1236
  • [25] Control Problems for the Navier-Stokes System with Nonlocal Spatial Terms
    Carreno, Nicolas
    Takahashi, Takeo
    JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2024, 200 (02) : 724 - 767
  • [26] Continuous viscosity solutions for nonlocal Dirichlet problems with coercive gradient terms
    Davila, Gonzalo
    Quaas, Alexander
    Topp, Erwin
    MATHEMATISCHE ANNALEN, 2017, 369 (3-4) : 1211 - 1236
  • [27] Controllable soliton propagation based on phase-front curvature in asymmetrical nonlocal media
    Zhang, Huafeng
    Lu, Hua
    Luo, Jianghua
    Sun, Lihui
    CHINESE PHYSICS B, 2016, 25 (08)
  • [28] Controllable soliton propagation based on phase-front curvature in asymmetrical nonlocal media
    张华峰
    吕华
    罗江华
    孙利辉
    Chinese Physics B, 2016, 25 (08) : 204 - 209
  • [29] Propagation and interaction of beams with initial phase-front curvature in highly nonlocal media
    Nie, Hexian
    Zhang, Huafeng
    Li, Lu
    OPTICS COMMUNICATIONS, 2008, 281 (21) : 5429 - 5438
  • [30] Solvability of nonlocal elliptic problems in Sobolev spaces, II
    Gurevich, PL
    RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS, 2004, 11 (01) : 1 - 44