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Transactions of the American Mathematical Society

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An application of Holmgren's theorem and convexity with respect to differential operators with flat characteristic cones


Author: E. C. Zachmanoglou
Journal: Trans. Amer. Math. Soc. 140 (1969), 109-115
MSC: Primary 35.39; Secondary 47.00
DOI: https://doi.org/10.1090/S0002-9947-1969-0240442-8
MathSciNet review: 0240442
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References [Enhancements On Off] (What's this?)

  • [1] Lars Hörmander, Linear partial differential operators, Third revised printing. Die Grundlehren der mathematischen Wissenschaften, Band 116, Springer-Verlag New York Inc., New York, 1969. MR 0248435
  • [2] Bernard Malgrange, Existence et approximation des solutions des équations aux dérivées partielles et des équations de convolution, Ann. Inst. Fourier, Grenoble 6 (1955–1956), 271–355 (French). MR 0086990
  • [3] François Trèves, Linear partial differential equations with constant coefficients: Existence, approximation and regularity of solutions, Mathematics and its Applications, Vol. 6, Gordon and Breach Science Publishers, New York-London-Paris, 1966. MR 0224958
  • [4] Fritz John, On linear partial differential equations with analytic coefficients. Unique continuation of data, Comm. Pure Appl. Math. 2 (1949), 209–253. MR 0036930, https://doi.org/10.1002/cpa.3160020205

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DOI: https://doi.org/10.1090/S0002-9947-1969-0240442-8
Article copyright: © Copyright 1969 American Mathematical Society

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