Strong unique continuation results for differential inequalities

被引：4
|
作者：
Regbaoui, R
机构：
[1] Dept. de Mathématiques, U.F.R. des Sci. et Téchniques, 29285 Brest Cedex, 6, Avenue V. Legorgeu
来源：
JOURNAL OF FUNCTIONAL ANALYSIS | 1997年 / 148卷 / 02期
关键词：
D O I：
10.1006/jfan.1997.3102
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The main result of this paper is a strong uniqueness theorem for differential inequalities of the form \triangle u(x)\ less than or equal to \V(x) u(x)\ + \W(x) del u(x)\, where V and W are radial functions in L-loc(n/2) (Omega) and L-loc(n) (Omega) respectively, and Omega is a connected open subset of R-n. Other results involving other spaces of potentials V and W are proved. Our method relies on sharp Carleman estimates. (C) 1997 Academic Press.
引用
收藏
页码：508 / 523
页数：16
相关论文
共 50 条
  • [41] Unique continuation results for Ricci curvature and applications
    Anderson, Michael T.
    Herzlich, Marc
    JOURNAL OF GEOMETRY AND PHYSICS, 2008, 58 (02) : 179 - 207
  • [42] A strong unique continuation property for weakly coupled elliptic systems
    Clapp, Monica
    Hernandez-Santamaria, Victor
    Saldana, Alberto
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2025, 544 (02)
  • [43] Strong Unique Continuation from the Boundary for the Spectral Fractional Laplacian
    De Luca, Alessandra
    Felli, Veronica
    Siclari, Giovanni
    ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2023, 29
  • [44] On the strong unique continuation of electromagnetic Schrodinger equations with random coefficients
    Lu, Xiaojun
    Lv, Xiaofen
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 462 (02) : 1464 - 1481
  • [45] Multiplier Method in the Strong Unique Continuation for Electromagnetic Schrodinger Operator
    Lu, Xiaojun
    Lv, Xiaofen
    NEW TRENDS IN ANALYSIS AND INTERDISCIPLINARY APPLICATIONS, 2017, : 507 - 513
  • [46] Strong unique continuation for the Lame system with less regular coefficients
    Davey, Blair
    Lin, Ching-Lung
    Wang, Jenn-Nan
    MATHEMATISCHE ANNALEN, 2020, 381 (1-2) : 1005 - 1029
  • [47] Strong unique continuation property for time harmonic Maxwell equations
    Okaji, T
    JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN, 2002, 54 (01) : 89 - 122
  • [48] Space like strong unique continuation for sublinear parabolic equations
    Banerjee, Agnid
    Manna, Ramesh
    JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 2020, 102 (01): : 205 - 228
  • [49] Strong unique continuation for the Lamé system with less regular coefficients
    Blair Davey
    Ching-Lung Lin
    Jenn-Nan Wang
    Mathematische Annalen, 2021, 381 : 1005 - 1029
  • [50] Unique continuation of solutions of differential equations with weighted derivatives
    Shananin, NA
    SBORNIK MATHEMATICS, 2000, 191 (3-4) : 431 - 458
12345