Lie algebras of analytic vector fields and uniqueness in the Cauchy problem for first order partial differential equations
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- by E. C. Zachmanoglou PDF
- Bull. Amer. Math. Soc. 76 (1970), 814-818
References
- Lars Hörmander, Linear partial differential operators, Die Grundlehren der mathematischen Wissenschaften, Band 116, Springer-Verlag New York, Inc., New York, 1969. Third revised printing. MR 0248435
- Bernard Malgrange, Sur les ouverts convexes par rapport à un opérateur différentiel, C. R. Acad. Sci. Paris 254 (1962), 614–615 (French). MR 154150
- 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
- E. C. Zachmanoglou, Uniqueness of the Cauchy problem when the initial surface contains characteristic points, Arch. Rational Mech. Anal. 23 (1966), 317–326. MR 217426, DOI 10.1007/BF00281166
- E. C. Zachmanoglou, Non-uniqueness of the Cauchy problem for linear partial differential equations with variable coefficients, Arch. Rational Mech. Anal. 27 (1967), 373–384. MR 223736, DOI 10.1007/BF00251440
- E. C. Zachmanoglou, Uniqueness of the Cauchy problem for linear partial differential equations with variable coefficients, Trans. Amer. Math. Soc. 136 (1969), 517–526. MR 239263, DOI 10.1090/S0002-9947-1969-0239263-1
- E. C. Zachmanoglou, An application of Holmgren’s theorem and convexity with respect to differential operators with flat characteristic cones, Trans. Amer. Math. Soc. 140 (1969), 109–115. MR 240442, DOI 10.1090/S0002-9947-1969-0240442-8
- Tadashi Nagano, Linear differential systems with singularities and an application to transitive Lie algebras, J. Math. Soc. Japan 18 (1966), 398–404. MR 199865, DOI 10.2969/jmsj/01840398
Additional Information
- Journal: Bull. Amer. Math. Soc. 76 (1970), 814-818
- MSC (1970): Primary 3501, 3530, 3537, 5736
- DOI: https://doi.org/10.1090/S0002-9904-1970-12565-4
- MathSciNet review: 0259351