The local degree of ill-posedness and the autoconvolution equation

被引：4
|
作者：
Fleischer, G [1 ]
Hofmann, B [1 ]
机构：
[1] TU Chemnitz Zwickau, Fac Math, D-09107 Chemnitz, Germany
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 1997年 / 30卷 / 06期
关键词：
autoconvolution equation; local degree of ill-posedness; Frechet derivative;
D O I：
10.1016/S0362-546X(96)00334-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
[No abstract available]
引用
收藏
页码：3323 / 3332
页数：10
相关论文
共 50 条
  • [31] Sharp well-posedness and ill-posedness results for the inhomogeneous NLS equation
    Campos, Luccas
    Correia, Simao
    Farah, Luiz Gustavo
    NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2025, 85
  • [32] WELL-POSEDNESS AND ILL-POSEDNESS RESULTS FOR THE NOVIKOV-VESELOV EQUATION
    Angelopoulos, Yannis
    COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2016, 15 (03) : 727 - 760
  • [33] On the Nature of Ill-Posedness of the Forward-Backward Heat Equation
    Chugunova, Marina
    Karabash, Illya M.
    Pyatkov, Sergei G.
    INTEGRAL EQUATIONS AND OPERATOR THEORY, 2009, 65 (03) : 319 - 344
  • [34] Norm Inflation and Ill-Posedness for the Degasperis-Procesi Equation
    Himonas, A. Alexandrou
    Holliman, Curtis
    Grayshan, Katelyn
    COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2014, 39 (12) : 2198 - 2215
  • [35] Sharp ill-posedness for the Hunter-Saxton equation on the line
    Guo, Yingying
    Ye, Weikui
    Yin, Zhaoyang
    JOURNAL OF EVOLUTION EQUATIONS, 2024, 24 (02)
  • [36] Ill-conditioning versus ill-posedness for the boundary controllability of the heat equation
    Ben Belgacem, Faker
    Kaber, Sidi Mahmoud
    JOURNAL OF INVERSE AND ILL-POSED PROBLEMS, 2015, 23 (04): : 309 - 322
  • [37] On the ill-posedness of the 5th-order Gardner equation
    Alejo, Miguel A.
    Cardoso Jr, Eleomar
    SAO PAULO JOURNAL OF MATHEMATICAL SCIENCES, 2019, 13 (02): : 383 - 390
  • [38] Ill-posedness of nonlinear parabolic equation with critical initial condition
    Xu Runzhang
    Liu Yacheng
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2012, 82 (07) : 1363 - 1374
  • [39] On the ill-posedness of the 5th-order Gardner equation
    Miguel A. Alejo
    Eleomar Cardoso
    São Paulo Journal of Mathematical Sciences, 2019, 13 : 383 - 390
  • [40] Ill-posedness for the gCH-mCH equation in Besov spaces
    Yu, Yanghai
    Wang, Hui
    MONATSHEFTE FUR MATHEMATIK, 2025, 206 (02): : 471 - 487
12345