期刊文献+

带梯度项奇异抛物方程解的存在性及渐近行为 被引量:1

Existence and Asymptotic Behavior of Solutions for Some Singular Parabolic Equation with Gradient Term
下载PDF
导出
摘要 利用抛物正则化方法及上下解方法、Fatou引理等,研究了一类带梯度项奇异抛物方程非负古典解,得到了该解的存在性及相应的渐近行为. Using parabolic regularization method,sub-super solution method and Fatou Lemma etc.,we discuss nonnegative classical solutions of some singular parabolic equation with gradient term,existence and asymptotic behavior of the solutions are obtained.
出处 《湘潭大学自然科学学报》 CAS 北大核心 2015年第2期16-19,共4页 Natural Science Journal of Xiangtan University
基金 国家自然科学基金项目(11201311 11201181) 四川省教育厅一般项目(15ZB0473)
关键词 梯度项 奇异性 存在性 渐近行为 gradient term singularity existence asymptotic behavior
  • 相关文献

参考文献7

  • 1XIA L, LIU Q, YAO Z A. Existence of the maximal weak solution for a class of singular parabolic equations [J]. J Math Anal Appl, 2012, 387: 439-446.
  • 2XIA L, YAO Z A. Existence, uniqueness and asymptotic behavior of solutions for a singular parabolic equa- tion[J]. J Math Anal Appl, 2009, 358: 182-188.
  • 3ZHOUW S, LEI P D. A one-dimensional nonlinear heat equation with a singular term[,J]. J Math Anal Appl, 2010, 368: 711-726.
  • 4MARTiNEZ-APARICIO P J, PETITTA F. Parabolic equations with nonlinear singularities[J]. Nonlinear A- nalysis, 2011, 74: 114-131.
  • 5BONIS I D , GIACHTTI D. Singular parabolic problems with possibly changing sign data[,J.. Discrete and Continuous Dynamical Systems, Series B, 2014, 19:2 047-2 064.
  • 6LAADYZENSKAJA O A, URALCEVA N N. Linear and quasilinear elliptic equations[M].. New York: Aca- demic Press, 1968:449-475.
  • 7LJEBERMAN G M. Second order parabolic differentia] equationsrM]. Beijing. World Scientific Publishing Co Pte Ltd, 2003:200-213.

同被引文献5

引证文献1

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部