期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

某种更一般形式的抛物型Monge-Ampère方程 被引量：4

A Class of Parabolic Monge-Ampère Equation with a More General Form
在线阅读 下载PDF
导出
摘要 对于Caffarelli-N irenberg-Spruck提出的一种更一般的椭圆型Monge-Ampère算子,讨论了相应的抛物型Monge-Ampère方程第一初边值问题,证明了古典解的存在惟一性,推广了Ladyzhenskaya-Ivochkina关于相应抛物型Monge-Ampère方程的结果. For a class of the corresponding solution to the first parabo more general elliptic Monge-Ampere operators raised by Caffarelli-Nirenberg-Spruck, lic Monge-Ampiere equation was studied, the existence and uniqueness of the classical boundary-initial value problem for the equation were established, which extended a result of Monge-Ampere equation described by Ladyzhenskaya-Ivochkina.
作者 任长宇 王光烈
机构地区 吉林大学数学研究所
出处 《吉林大学学报（理学版）》 CAS CSCD 北大核心 2006年第1期30-38,共9页 Journal of Jilin University:Science Edition
关键词 更一般形式 完全非线性 非一致抛物 Monge—Ampiere型方程 more general form fully nonlinear non-uniformly parabolic Monge-Ampere type equation
分类号 O175.26 [理学—基础数学] O175.29 [理学—基础数学]
  • 相关文献

参考文献7

  • 1Caffarelli L, Nirenberg L, Spruck J. The Dirichlet Problem for Nonlinear Second-order Elliptic Equations Ⅰ Monge Ampere Equation [ J ]. Communications on Pure and Applied Mathematics, 1984, 37 : 369-402.
  • 2Caffarelli L, Nircnberg L, Spruck J. The Dirichlet Problem for Nonlinear Second-order Elliptic Equations Ⅲ Functions of the Eigenvalues of the Hessian [ J ]. Acta Mathematics, 1985, 155 : 261-304.
  • 3Li Y. Some Existence Results for Fully Nonlinear Elliptic Equations of Monge-Ampere Type [ J ]. Communications on Pure and Applied Mathematics, 1990, VLⅢ : 233-271.
  • 4Ivochkina N M, Ladyzhenskaya O A. Parabolic Equations Generated by Symmetric Functions of the Eigenvalues of the Hessian or by the Principal Curvatures of a Surface Ⅰ Parabolic Monge-Ampere Equations[ J ]. Algebrai Analiz, 1994,6(3) : 141-160.
  • 5Lieberman G M. Second Order Parabolic Differential Equations [M]. NJ: World Scientific Publishing Co, 1996.
  • 6Horn R A, Johnson C R. Matrix Analysis [ M]. Cambridge: Cambridge University Press, 1985.
  • 7Gilbarg D, Trudinger N S. Elliptic Partial Differential Equations of Second Order [ M ]. 2nd ed. Grundlehren der Mahtematischen Wissenschaften : Vol. 224. Berlin : Springer-Verlag, 1983.

同被引文献18

  • 1Horn R. A. and Johnson C. R., Matrix Analysis [M], Cambridge: Cambridge University Press, 1985.
  • 2Gilbarg D. and Trudinger N. S., Elliptic Partial Differential Equations of Second Order [M], 2nd ed., Grundlehren der Mahtematischen Wissenschaften, Berlin: Springer- Verlag, 1983.
  • 3Guan B. and Li Y., Monge-Ampere equations on Riemannian manifolds [J], J. Differential Equations, 1996, 132:126-139.
  • 4Lieberman G. M., Second Order Parabolic Differential Equations [M], River Edge, N J: World Scientific Publishing Co., 1996.
  • 5Caffarelli L., Nirenberg L. and Spruck J., The Dirichlet problem for nonlinear secondorder elliptic equations I. Monge-Ampere equation [J], Communications on Pure and Applied Mathematics, 1984, 37:369-402.
  • 6Caffarelli L., Nirenberg L. and Spruck J., The Dirichlet problem for nonlinear secondorder elliptic equations Ⅲ. functions of the eigenvalues of the Hessian [J], Acta Mathematics, 1985, 155:261-304.
  • 7Li Yanyan, Some existence results for fully nonlinear elliptic equations of Monge-Apere type [J], Communications on Pure and Applied Mathematics, 1990, 43(2):233-271.
  • 8Krylov N. V., Nonlinear Elliptic and Parabolic Equations of the Second Order [M], Moscow: Nauka, 1985 (in Russian).
  • 9Krylov N. V., Some new results in the theory of nonlinear elliptic and parabolic equations [C]// Proceedings of the International Congress of Mathematicians (Berkeley, CA, 1986), Providence, RI: Amer. Math. Soc., 1987:1101-1109.
  • 10Krylov N. V., Boundedly inhomogenuous elliptic and parabolic equations [J], Izv. Akad. Nauk SSSR Ser. Mat., 1982, 46(3):487-523.

引证文献4

二级引证文献2

吉林大学学报（理学版）
2006年 第1期

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