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带抛物退化线的混合(椭圆-双曲)型方程(英文)

Complex equations of mixed (elliptic-hyperbolic) type with parabolic degeneracy
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摘要 主要介绍了带抛物退化线的双曲型和混合型方程的斜微商边值问题 ,这些问题包括Chaplygin方程的特殊情况Tricomi问题 ,并在研究这些问题时 。 This paper mainly deals with oblique derivative problems for second order equations of hyperbolic and mixed type with parabolic degenearcy. Firstly the above problem for hyperbolic equations is introduced, and then the above problem for mixed equations is considered. The complex analytic method is used through the paper.
作者 闻国椿
出处 《宁夏大学学报(自然科学版)》 CAS 2003年第3期196-198,共3页 Journal of Ningxia University(Natural Science Edition)
关键词 混合(椭圆—双曲)型方程 抛物退化线 斜微商边值问题 Chaplygin方程 TRICOMI问题 复分析 mixed (elliptic hyperbolic) equations parabolic degeneracy oblique derivative problems
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参考文献4

  • 1Wen G C, Luo Z F. Hyperbolic complex functions and hyperbolic pseudoregular functions[ J]. J Ningxia Univ (Natur Sci),1998,19(1) :12. 被引量:1
  • 2Protter M H. The Cauchy problem for a hyperbolic second order equation [J]. Can J Math,1954, 6:542. 被引量:1
  • 3Bitsadze A V. Some classes of partial differential equations[ M ]. New York: Gordon and breach, 1988.14 - 67. 被引量:1
  • 4Salakhitdinov M S, Islomov B. The Tricomi problem for the general linear equation of mixed type with a nonsmooth line of degeneracy [J]. Soviet Math Dokl, 1987,34:133. 被引量:1

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