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半无限圆柱体中半线性抛物线型问题不同的渐近估计

J·C·宋

J·C·宋. 半无限圆柱体中半线性抛物线型问题不同的渐近估计[J]. 应用数学和力学, 2011, 32(10): 1241-1246. doi: 10.3879/j.issn.1000-0887.2011.10.009
引用本文: J·C·宋. 半无限圆柱体中半线性抛物线型问题不同的渐近估计[J]. 应用数学和力学, 2011, 32(10): 1241-1246. doi: 10.3879/j.issn.1000-0887.2011.10.009
J. C. Song. Asymptotic and Other Estimates for a Semilinear Parabolic Problem in a Semi-Infinite Cylinder[J]. Applied Mathematics and Mechanics, 2011, 32(10): 1241-1246. doi: 10.3879/j.issn.1000-0887.2011.10.009
Citation: J. C. Song. Asymptotic and Other Estimates for a Semilinear Parabolic Problem in a Semi-Infinite Cylinder[J]. Applied Mathematics and Mechanics, 2011, 32(10): 1241-1246. doi: 10.3879/j.issn.1000-0887.2011.10.009

半无限圆柱体中半线性抛物线型问题不同的渐近估计

doi: 10.3879/j.issn.1000-0887.2011.10.009
基金项目: 韩国国家研究基金会资助项目(NRF2010-0012215)
详细信息
  • 中图分类号: O357.1

Asymptotic and Other Estimates for a Semilinear Parabolic Problem in a Semi-Infinite Cylinder

  • 摘要: 就变截面的半无限圆柱体,当横向边界值为0时,研究半线性抛物线型方程的初边值问题解的空间衰减.对其解的一个L2p横截面量,导出的2阶微分不等式表明,空间衰减呈O(exp-z2/).同时导出了引起增长或衰减的1阶微分不等式.在爆破空间中得到增长情况下的上界,当衰减情况时,根据已知的数据,得到总能量的上界.
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出版历程
  • 收稿日期:  2010-10-11
  • 修回日期:  2011-07-13
  • 刊出日期:  2011-10-15

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