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一类线性偏微分算子连续线性右逆存在的必要条件 被引量:1

A Necessary Condition of some Linear Partial Differential Operator that Admits a Continuous Linear Right Inverse
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摘要 该文利用Phragmen-Lindelf条件和d-拟齐次概念对于S(D)=P(D)-■2/■X2N+1型算子进行了讨论,给出了其连续线性右逆存在的一个必要条件. In the paper,the linear partial differential operator S(D = P(D)—■2/■X2N+1 is disscused by using Phragmen- Lindelf condition and d-quasihomogeneous polynomials,and a necessary condition of it,for which the continuous linear right inverse exists,is given.
作者 吴密景 王光
出处 《数学物理学报(A辑)》 CSCD 北大核心 2011年第4期983-990,共8页 Acta Mathematica Scientia
基金 国家自然科学基金(61074048) 山西省回国人员基金资助
关键词 连续线性右逆 Phragmen-Lindelf条件 d-拟齐次多项式 Continuous linear right inverse Phragmen-Lindelf condition d-quasihomogeneous polynomials
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  • 1Homander L. On the existence of rear analytic solutions of partial differential equations with constant coefficients. Invent Math, 1973, 21:151-183. 被引量:1
  • 2Meise R, Taylor B A, Vogt D. Characterization of the linear partial differential operators with constant coefficients that admidt a continuous linear right inverse. Ann Inst Fourier (Grenoble), 1990, 40:619-655. 被引量:1
  • 3Meie R, Taylor B A, Vogt D. Continuous linear right inverses for partial differential operators on non- quasiaualytic classes and on ultradistributions. Math Nachr, 1996, 180:449-464. 被引量:1
  • 4Meie R, Taylor B A, Vogt D. Phragmen-Lindelof principles on algebraic varieties. J Amer Math Soc, 1998, 11:1-39. 被引量:1
  • 5Braun R W, Meise R, Taylor B A. Algebraic varieties on which the classical Phragmen-Lindelof estimates hold for plurisubharmonic functions. Math Z, 1999, 232:103-135. 被引量:1
  • 6Braun R W, Meise R, Taylor B A. The geometry of analytic varieties satisfying the local Phragmen- Lindelof condition and a geometoc characterization of the partial differential operators that are surjective on A(R)^4. Trans Amer Soc, 2004, 356:1315-1383. 被引量:1
  • 7Palamodov V P. A Criterion for Splitness of Differential Complexes with Constant Coeficients//C.A.Beren- stein, D.C.Struppa. Ceometrical and Algebraical Aspects in Several Complex Variables. EditEl, 1991: 265-291. 被引量:1
  • 8Bonet J, Nacinnovovich M. Overdetermined Cauchy problem in some classes of ultradifferentiable functions. Ann Math Pura Appl, 2001, 180:81-126. 被引量:1
  • 9Braun R W, Meise R, Taylor B A. Characterizatio of the homogeneus polynomials P for which (P + Q)(D) admits a continuous linear right inverse for all pertubations Q. Pacific J Math, 2000, 192: 201-218. 被引量:1
  • 10Braun R W, Meise R, Taylor B A. Pertubation of differential operators admitting acontinuous linear right inverse on ultradistributions. Pacific J Math, 2003, 212:25-48. 被引量:1

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