Journal of Differential Geometry

A remark on Holmgren's uniqueness theorem

Lars Hörmander
Source: J. Differential Geom. Volume 6, Number 1 (1971), 129-134.
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Primary Subjects: 35A05
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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.jdg/1214430221
Mathematical Reviews number (MathSciNet): MR0320486
Zentralblatt MATH identifier: 0221.35002

References

[1] J. M. Bony, Une extension du theoreme de Holmgren sur Vuncit du probleme de Cauchy, C. R. Acad. Sci. Paris, 268 (1969) 1103-1106.
Zentralblatt MATH: 0172.38001
Mathematical Reviews (MathSciNet): MR241805
[2] L. Hormander, Linear partial differential operators, Springer, Berlin, 1963.
Zentralblatt MATH: 0108.09301
Mathematical Reviews (MathSciNet): MR404822
[3] L. Hormander, Uniqueness theorems and wave front sets for solutions of linear differential equations with analytic coefficients, to appear in Comm. Pure Appl. Math.
Zentralblatt MATH: 0226.35019
Mathematical Reviews (MathSciNet): MR294849
Digital Object Identifier: doi:10.1002/cpa.3160240505
[4] P. Schapira, Theoreme d'uncite de Holmgren et operateurs hyperboliques dans espace des hyperfonctions, to appear in An. Acad. Brasil. Ci.
Zentralblatt MATH: 0234.46043
Mathematical Reviews (MathSciNet): MR310634
[5] F. Treves, Linear partial differential equations with constant coefficients, Gordon and Breach, New York, 1966.
Zentralblatt MATH: 0164.40602
Mathematical Reviews (MathSciNet): MR224958
[6] E. C. Zachmanoglou, Uniqueness of the Cauchy problem when the initial surface contains characteristic points, Arch. Rational Mech. Anal. 23 (1966) 317-326.
Zentralblatt MATH: 0154.35301
Mathematical Reviews (MathSciNet): MR217426
Digital Object Identifier: doi:10.1007/BF00281166
[7] E. C. Zachmanoglou, Propagation of zeroes and uniqueness in the Cauchy problem for first order partial differential equations, Arch. Rational Mech. Anal. 23 (1970) 178-188.
Zentralblatt MATH: 0199.15903
Mathematical Reviews (MathSciNet): MR261150
Digital Object Identifier: doi:10.1007/BF00251658

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Journal of Differential Geometry

Journal of Differential Geometry