@article{ASNSP_1980_4_7_2_257_0, author = {Zeman, Marvin}, title = {On the uniqueness of the Cauchy problem for partial differential operators with multiple characteristics}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {257--285}, publisher = {Scuola normale superiore}, volume = {Ser. 4, 7}, number = {2}, year = {1980}, zbl = {0478.35006}, mrnumber = {581144}, language = {en}, url = {archive.numdam.org/item/ASNSP_1980_4_7_2_257_0/} }
Zeman, Marvin. On the uniqueness of the Cauchy problem for partial differential operators with multiple characteristics. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 4, Tome 7 (1980) no. 2, pp. 257-285. http://archive.numdam.org/item/ASNSP_1980_4_7_2_257_0/
[1] Uniqueness in the Cauchy problem for partial differential equations, Amer. J. Math., 80 (1958), pp. 16-36. | MR 104925 | Zbl 0080.30302
,[2] Existence and uniqueness theorems for systems of partial differential equations, in Fluid Dynamics and Applied Mathematics, Gordon and Breach, New York, 1962, pp. 147-195. | MR 156078 | Zbl 0147.08202
,[3] Sur un problème d'unicité pour les systèmes d'équations aux derivées partielles à deux variables indépendantes, Ark. Mat. Astr. Fys., 26B, no. 17 (1939), pp. 1-9. | JFM 65.0394.03 | Zbl 0022.34201
,[4] The non-uniqueness of the Cauchy problem, O.N.R. Tech. Rep. 93, Stanford, 1960.
,[5] The uniqueness of the Cauchy problem for partial differential equations which may have multiple characteristics, Trans. Amer. Math. Soc., 146 (1969), pp. 493-509. | MR 252832 | Zbl 0188.41502
,[6] On the uniqueness of the Cauchy problem I-II, Math. Scand. 6 (1958), pp. 213-225; 7 (1959), pp. 177-190. | MR 104924
,[7] Linear Partial Differential Operators, Springer-Verlag, Berlin-Göttingen- Heidelberg, 1964. | MR 404822 | Zbl 0108.09301
,[8] Non-uniqueness for the Cauchy problem, in Fourier Integral Operators and Partial Differential Equations, Lecture Notes in Mathematics, Springer-Verlag, Berlin-Heidelberg-New York, 1975. | MR 419980 | Zbl 0315.35019
,[9] An algebra of pseudo-differential operators, Comm. Pure Appl. Math., 18 (1965), pp. 269-305. | MR 176362 | Zbl 0171.35101
- ,[10] Uniqueness in the Cauchy problem for partial differential equations with multiple characteristic roots, J. Math. Kyoto Univ., 15, no. 3 (1975), pp. 479-525. | MR 486945 | Zbl 0331.35014
,[11] Unicité du prolongement des solutions des équations elliptiques du quatrième ordre, Proc. Japan Acad., 34 (1958), pp. 687-692. | MR 105553 | Zbl 0085.08501
,[12] Sur la condition de E. E. Levi concernant des équations hyperboliques, Publ. Res. Inst. Math. Sci., Kyoto Univ. Ser. A, 4 (1968), pp. 511-526. | MR 276606 | Zbl 0202.37401
- ,[13] Sur la condition d'hyperbolicité pour les équations caractéristiques multiples, II, Japan. J. Math., 40 (1971), pp. 63-104. | MR 303100 | Zbl 0231.35048
- ,[14]
, Lectures on Partial Differential Equations, Proc. Reg. Conf. at Texas Tech., May 1972, Conf. Board of the A.M.S.[15] On E. E. Levi's functions for hyperbolic equations with triple characteristics, Comm. Pure Appl. Math., 25 (1972), pp. 257-263. | MR 298223 | Zbl 0238.35050
,[16] Uniqueness in Cauchy's problem for elliptic equations with double characteristics, Ark. Mat., 6 (1967), pp. 535-548. | Zbl 0146.34201
,[17] A smooth linear elliptic differential equation without any solution in a sphere, Comm. Pure Appl. Math., 14 (1961), pp. 599-617. | MR 136846 | Zbl 0163.13103
,[18] On uniqueness in Cauchy's problem for elliptic operators with characteristics of multiplicity greater than two, Tôhoku Math. J., 29 (1977), pp. 165-188. | MR 463692 | Zbl 0355.35028
,[19] Linear Partial Differential Equations with Constant Coefficients, Gordon and Breach, New York, 1966. | MR 224958 | Zbl 0164.40602
,[20] On the uniqueness of the Cauchy problem for certain elliptic equations with triple characteristics, Tôhoku Math. J., 23 (1971), pp. 473-490. | MR 308584 | Zbl 0237.35032
,[21] On the uniqueness of the Cauchy problem for elliptic differential operators with smooth characteristics of variable multiplicity, Comm. Partial Differential Equations, 2, no. 8 (1977), pp. 831-854. | MR 447800 | Zbl 0378.35023
- ,[22] Uniqueness of solutions of the Cauchy problem for linear partial differential equations with characteristics of constant multiplicity, J. Differential Equations, 24 (1977), pp. 178-196. | MR 599595 | Zbl 0349.35012
,[23] Uniqueness of solutions of the Cauchy problem for linear partial differential equations with characteristics of variable multiplicity, J. Differential Equations, 27 (1978), pp. 1-18. | MR 473447 | Zbl 0367.35055
,