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具有非线性记忆的非局部反应扩散方程组的解的爆破(英文)

SEMILINEAR BLOW-UP IN NONLOCAL REACTION-DIFFUSION SYSTEMS WITH NONLINEAR MEMORY
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摘要 本文讨论具有非局部源的半线性抛物型方程组的初边值问题,得到了爆破指标和爆破率． In this paper, we consider the semilinear parabolic systems with nonlocal source. The blowup criteria and the blowup rate are obtained.
作者 陈玉娟
机构地区 南京师范大学数科院
出处 《南京大学学报（数学半年刊）》 CAS 2006年第1期121-128,共8页 Journal of Nanjing University(Mathematical Biquarterly)
基金 This project was supported by the NSF of Jiangsu Education Office of PRC 03KJD1101690 Jiangsu Education Commission (04KJB110108).
关键词 爆破 非局部源 半线性抛物型方程组 非线性记忆 Blow-up, nonlocal source, semilinear parabolic systems
分类号 O175.26 [理学—基础数学]
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参考文献10

  • 1Li Y X and Xie C H. Blow-up for Semilinear Parabolic Equations with Nonlinear Memory. Z.Angew. Math. Phys., 2004, 55: 15-27.
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  • 3Souplet Ph. Monotonicity of Solutions and Blow-up for Semilinear Parabolic Equations with Nonlinear Memory. Z. Angew. Math. Phys., 2004, 55: 28-31.
  • 4Duan Z W, Deng W B and Xie C H. Uniform Blow-up Profile for a Degenerate Parabolic System with Nonlocal Source. Comput. Math. Appl., 2004, 47: 977-995.
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南京大学学报（数学半年刊）
2006年 第1期

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