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Phragmén-Lindelf条件关于两个独立变量扰动的一个必要条件 被引量：2

Perturbation of Phragmén-Lindelf Condition with Two Independent Variates
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摘要 研究常系数线性偏微分算子P(D)的右逆对于讨论其解的性质具有非常重要的作用,而Phragmén-Lindelf条件提供了研究常系数线性偏微分算子右逆存在性的一种方法.主要讨论了一种情形下Phragmén-Lindelf条件关于两个独立变量的扰动情况,给出了Phragmén-Lindelf条件在这种情形下扰动的一个必要条件. The research about the right inverse of linear partial differential operators P（D） with constant coefficient is very important for studying the properties of the solutions.The Phragmén-Lindelf condition has given a method to study the existence of right inverse of linear partial differential equations with constant coefficient.The perturbations for Phragmén-Lindelf condition with two independent variates in some case was mainly discussed,and a necessary condition of pertu bations of Phragmén-Lindelf condition in the case was given.
作者 张婧 王光
机构地区 太原大学教育学院 山西大学数学科学学院
出处 《中北大学学报（自然科学版）》 CAS 北大核心 2011年第1期92-95,共4页 Journal of North University of China(Natural Science Edition)
关键词 Phragmén-Lindelf条件 权函数 d-拟齐次 Phragmén-Lindelf condition weight function d-quasiho mogeneous
分类号 O175.2 [理学—基础数学]
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参考文献5

  • 1Braun R W,Meise R,Tayloy B A.Algebraic varieties on which the classical Phragmén-Lindelf estimaties hold for plurisubharmonic functions[J].Math.Z.,1999,232:103-135.
  • 2Meise R,Tayloy B A,Vogt D.Characterization of the linear partial operators with constant coefficients that admit a continuous linear right inverse[J].Ann.Inst.Fourier(Grenoble),1990,40:619-655.
  • 3Meise R,Tayloy B A,Vogt D.Phragmén-Lindelf principles on algebraic varieties[J].J.Amer.Math.Soc.,1998,11:1-39.
  • 4Braun R W,Meise R,Tayloy B A.A perturbation result for linear differential operators admitting a global right inverse on D'[J].Analysis,Geometry,Number Theory:The Math of Leon Ehrenpreis,Contemporary Math.,2000,251:93-106.
  • 5Braun R W,Meise R,Tayloy B A.Characterization of the homogeneous polynomials P for which (P+Q)(D) admits a comtinuous linear right inverse for all perturbations Q[J].Pacific.J.Math.,2000,192:201-218.

同被引文献11

  • 1Braun R W, Meise R, Tayloy B A. Algebraic varieties on which the classical Phragm6n-Lindel6f estimaties hold for plurisubharmonic functions [ J ]. Math. Z, 1999, 232: 103-135.
  • 2Hormander L. On the existence of the real analytic solut- ions of partial differential equations with constant coeffi- cients[J]. Inv. Math., 1973, 21: 151-183.
  • 3Meise R, Tayloy B A, Vogt D. Characterization of the linear partial operators with constant eoe[[icients that ad- mit a continuous linear right inverse[J]. Ann. Inst. Fou- rier(Grenoble), 1990, 40. 619-655.
  • 4Meise R, Tayloy B A. Phragmen-lindelof conditions for gragh varieties[J]. Result. Math., 1999, 36: 121-148.
  • 5Meise R, Tayloy B A, Vogt D. Phragmen-Lindelof prin- ciples on algebraic varieties[J ]. J. Amer. Math. Soc. , 1998, 11: 1-39.
  • 6Meise R, Tayloy B A, Vogt D. Equivalence of analytic and plurisubharmonic Phragmen-Lindelof conditions[J]. Proceedings of Symposia in Pure Mathematics, 1991, 52 : 287-308.
  • 7Hormander L. Complex Analysis in Several Variables [M]. 2nd. North Holland, 1973.
  • 8Braun R W, Meise R, Tayloy B A. Perturbation of dif- ferential operators admittinga continuous linear right inve- rse on ultradistributions[ J ]. Pacific. J. Math. , 2003, 212: 25-48.
  • 9Boiti C, Meise R. The Phragmen-Lindelof condition for evolution for quadratic forms[J]. Funct. Approx. Com- ment. Math., 2011, 44: 111-131.
  • 10吴密景,王光.一类线性偏微分算子连续线性右逆存在的必要条件[J].数学物理学报（A辑）,2011,31(4):983-990. 被引量：1

引证文献2

中北大学学报（自然科学版）
2011年 第1期

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