Propagation of zeroes and uniqueness in the Cauchy problem for first order partial differential equations. (English) Zbl 0199.15903

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[1] Hörmander, L., Linear Partial Differential Operators. New York: Academic Press 1963. · Zbl 0108.09301
[2] Malgrange, B., Sur les ouverts convexes par rapport à un opérateur différentiel. C.R. Acad. Sci. Paris 254, 614–615 (1962). · Zbl 0117.06301
[3] Treves, F., Linear Partial Differential Equations with Constant Coefficients. New York: Gordon and Breach 1966. · Zbl 0129.06905
[4] Zachmanoglou, E. C., Uniqueness of the Cauchy problem when the initial surface contains characteristic points. Arch. Rational Mech. Anal. 23, 317–326 (1966). · Zbl 0154.35301
[5] Zachmanoglou, E. C., Nonuniqueness of the Cauchy problem for linear partial differential equations with variable coefficients. Arch. Rational Mech. Anal. 27, 373–384 (1968). · Zbl 0159.38502
[6] Zachmanoglou, E. C., Uniqueness of the Cauchy problem for linear partial differential equations. Transactions of the AMS 136, 517–526 (1969). · Zbl 0174.41401
[7] Zachmanoglou, E. C., An application of Holmgren’s theorem and convexity with respect to differential operators with flat characteristic cones. Transactions of the AMS 140, 109–115 (1969). · Zbl 0179.19304
[8] Nagano, T., Linear differential systems with singularities and an application to transitive Lie algebras. Journal of Math. Soc. of Japan 18, 398–404 (1966). · Zbl 0147.23502
[9] Bony, Jean-Michel, Principe du maximum et inégalité de Harnack pour les opérateurs elliptiques dégénérés. Seminaire Brelot-Choquet-Deny (Theorie du potentiel), 12e année, 1967/1968, no. 10.
[10] Coddington, E. A., & N. Levinson, Theory of Ordinary Differential Equations. New York: McGraw Hill Book Company Inc. 1955. · Zbl 0064.33002
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