The Asymptotic Behavior of Singular Solutions of Some Nonlinear Partial Differential Equations in the Complex Domain

被引：0
|
作者：
Ouchi, Sunao [1 ]
机构：
[1] Sophia Univ, Dept Math, Tokyo 1028554, Japan
来源：
PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES | 2008年 / 44卷 / 04期
关键词：
singular solution; asymptotic behavior; complex partial differential equation; Mellin transform;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let u(t, x) ((t, x) is an element of C x C(d)) be a solution of a nonlinear partial differential equation in a neighborhood of the origin, which is not necessarily holomorphic on {t = 0}. We study the asymptotic behavior of u(t, x) as t --> 0 and give its asymptotic terms with remainder estimate of Gevrey type.
引用
收藏
页码：973 / 1026
页数：54
相关论文
共 50 条
  • [21] Asymptotic behavior of solutions of impulsive neutral nonlinear partial differential equations with distributed delay
    V. Sadhasivam
    K. Logaarasi
    T. Raja
    The Journal of Analysis, 2019, 27 : 241 - 257
  • [22] Asymptotic behavior of solutions of impulsive neutral nonlinear partial differential equations with distributed delay
    Sadhasivam, V.
    Logaarasi, K.
    Raja, T.
    JOURNAL OF ANALYSIS, 2019, 27 (01): : 241 - 257
  • [23] THEOREM ON ASYMPTOTIC BEHAVIOR OF SOLUTIONS OF NONLINEAR DIFFERENTIAL EQUATIONS
    BRIDGLAND, TF
    SIAM REVIEW, 1961, 3 (02) : 177 - &
  • [24] On the asymptotic behavior of solutions to nonlinear ordinary differential equations
    Agarwal, Ravi P.
    Djebali, Smail
    Moussaoui, Toufik
    Mustafa, Octavian G.
    Rogovchenko, Yuri V.
    ASYMPTOTIC ANALYSIS, 2007, 54 (1-2) : 1 - 50
  • [25] Asymptotic Behavior of Solutions to Nonlinear Fractional Differential Equations
    Kassim, Mohammed D.
    Furati, Khaled M.
    Tatar, Nasser-Eddine
    MATHEMATICAL MODELLING AND ANALYSIS, 2016, 21 (05) : 610 - 629
  • [26] On the asymptotic behavior of solutions to nonlinear ordinary differential equations
    Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, FL 32901, United States
    不详
    不详
    不详
    Asymptotic Anal, 2007, 1-2 (1-50):
  • [27] Finitely smooth solutions of nonlinear singular partial differential equations
    Yoshino, Masafumi
    MATHEMATISCHE NACHRICHTEN, 2006, 279 (11) : 1242 - 1263
  • [28] On Gevrey solutions of threefold singular nonlinear partial differential equations
    Lastra, Alberto
    Malek, Stephane
    Sanz, Javier
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2013, 255 (10) : 3205 - 3232
  • [29] ASYMPTOTIC SYMMETRY OF SOLUTIONS OF NONLINEAR PARTIAL-DIFFERENTIAL EQUATIONS
    BADIALE, M
    BARDI, M
    COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1992, 45 (07) : 899 - 921
  • [30] Asymptotic Forms of Solutions to System of Nonlinear Partial Differential Equations
    Bruno, Alexander D.
    Batkhin, Alexander B.
    UNIVERSE, 2023, 9 (01)
12345