Global stability of solutions to a free boundary problem of ductal carcinoma in situ

被引：0
|
作者：
Xu, Shihe [1 ]
机构：
[1] Zhaoqing Univ, Sch Math & Stat, Zhaoqing 526061, Guangdong, Peoples R China
来源：
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2016年 / 27卷
关键词：
Mathematical model; Ductal carcinoma in situ; Free boundary problem; Global stability; SOLID TUMOR-GROWTH; TIME DELAYS; MATHEMATICAL-MODELS; ABSENCE;
D O I：
10.1016/j.nonrwa.2015.08.003
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the paper we present some remarks on the global stability of steady state solutions to a free boundary model studied by Xu (2004) and also prove some new results of global stability of steady state solutions to the model. (C) 2015 Elsevier Ltd. All rights reserved.
引用
收藏
页码：238 / 245
页数：8
相关论文
共 50 条
  • [21] STABILITY OF TRAVELING WAVE SOLUTIONS IN A CREDIT RATING MIGRATION FREE BOUNDARY PROBLEM
    Brauner, Claude-michel
    Dong, Yuchao
    Liang, Jin
    Lorenzi, Luca
    SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2025, 57 (01) : 563 - 600
  • [22] Boundary Estimates for Solutions of the Parabolic Free Boundary Problem
    D. E. Apushkinskaya
    H. Shahgholian
    N. N. Uraltseva
    Journal of Mathematical Sciences, 2003, 115 (6) : 2720 - 2730
  • [23] Ductal carcinoma in situ [Duktales carcinoma in situ]
    Meyners T.
    Stöckelhuber B.
    Friedrich M.
    Noack F.
    Dunst J.
    Der Onkologe, 2005, 11 (9): : 993 - 1004
  • [24] Ductal carcinoma in situ [Duktales carcinoma in situ]
    Tulusan A.H.
    Bühner M.
    Parchent H.
    Rinas N.
    Kastner P.
    Der Gynäkologe, 2005, 38 (1): : 65 - 74
  • [25] GLOBAL EXISTENCE OF CLASSICAL SOLUTIONS FOR A NONLOCAL ONE DIMENSIONAL PARABOLIC FREE BOUNDARY PROBLEM
    Semerdjieva, Rossitza
    HOUSTON JOURNAL OF MATHEMATICS, 2014, 40 (01): : 229 - 253
  • [26] Existence and Uniqueness of Global Solutions of a Free Boundary Problem in the Process of Czochralski Crystal Growth
    闫德宝
    延边大学学报(自然科学版), 2010, (04) : 296 - 300
  • [27] Ductal carcinoma in situ
    Rosai, J
    HUMAN PATHOLOGY, 1996, 27 (11) : 1247 - 1247
  • [28] Ductal Carcinoma In Situ
    Bychkovsky, Brittany L.
    Myers, Sara
    Warren, Laura E. G.
    De Placido, Pietro
    Parsons, Heather A.
    HEMATOLOGY-ONCOLOGY CLINICS OF NORTH AMERICA, 2024, 38 (04) : 831 - 849
  • [29] Ductal carcinoma in situ
    Rakovitch, E
    Kim, JJ
    Wright, B
    Shumak, R
    Catzavelos, C
    Holloway, CMB
    CURRENT PROBLEMS IN CANCER, 2000, 24 (03) : 101 - +
  • [30] Global existence of solutions to a one-dimensional free boundary problem of hyperbolic type
    Nakane, K
    PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES, 2001, 77 (07) : 103 - 107
12345