STRICT MONOTONICITY OF EIGENVALUES AND UNIQUE CONTINUATION

被引:99
|
作者
DEFIGUEIREDO, DG [1 ]
GOSSEZ, JP [1 ]
机构
[1] UNIV LIBRE BRUXELLES,DEPT MATH,B-1050 BRUSSELS,BELGIUM
关键词
D O I
10.1080/03605309208820844
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we show that the strict monotonicity of the eigenvalues of an uniformly elliptic operator of second order is equivalent to a unique continuation property.
引用
收藏
页码:339 / 346
页数:8
相关论文
共 50 条
  • [1] Strict monotonicity and unique continuation of the biharmonic operator
    Tsouli, Najib
    Chakrone, Omar
    Rahmani, Mostafa
    Darhouche, Omar
    BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2012, 30 (02): : 79 - 83
  • [2] Strict Monotonicity and Unique Continuation for General Non-local Eigenvalue Problems
    Frassu, Silvia
    Iannizzotto, Antonio
    TAIWANESE JOURNAL OF MATHEMATICS, 2020, 24 (03): : 681 - 694
  • [3] Strict Monotonicity and Unique Continuation for the Third-Order Spectrum of Biharmonic Operator
    Ben Haddouch, Khalil
    El Allali, Zakaria
    Mermri, El Bekkaye
    Tsouli, Najib
    ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [4] MONOTONICITY PROPERTIES OF VARIATIONAL INTEGRALS, AP WEIGHTS AND UNIQUE CONTINUATION
    GAROFALO, N
    LIN, FH
    INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1986, 35 (02) : 245 - 268
  • [5] UNIQUE CONTINUATION AND ABSENCE OF POSITIVE EIGENVALUES FOR SCHRODINGER-OPERATORS
    JERISON, D
    KENIG, CE
    STEIN, EM
    ANNALS OF MATHEMATICS, 1985, 121 (03) : 463 - 494
  • [7] Strict monotonicity of principal eigenvalues of elliptic operators in Rd and risk-sensitive control
    Arapostathis, Ari
    Biswas, Anup
    Saha, Subhamay
    arXiv, 2017,
  • [8] Strict monotonicity of principal eigenvalues of elliptic operators in Rd and risk-sensitive control
    Arapostathis, Ari
    Biswas, Anup
    Saha, Subhamay
    JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES, 2019, 124 : 169 - 219
  • [9] Monotonicity of generalized frequencies and the strong unique continuation property for fractional parabolic equations
    Banerjee, Agnid
    Garofalo, Nicola
    ADVANCES IN MATHEMATICS, 2018, 336 : 149 - 241
  • [10] MONOTONICITY OF STEKLOFF EIGENVALUES
    DITTMAR, B
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 1989, 40 (04): : 603 - 607