Uniqueness theorems and wave front sets for solutions of linear differential equations with analytic coefficients
1971; Wiley; Volume: 24; Issue: 5 Linguagem: Inglês
10.1002/cpa.3160240505
ISSN1097-0312
Autores Tópico(s)Mathematical functions and polynomials
ResumoCommunications on Pure and Applied MathematicsVolume 24, Issue 5 p. 671-704 Article Uniqueness theorems and wave front sets for solutions of linear differential equations with analytic coefficients Lars Hörmander, Lars Hörmander University of Lund, SwedenSearch for more papers by this author Lars Hörmander, Lars Hörmander University of Lund, SwedenSearch for more papers by this author First published: September 1971 https://doi.org/10.1002/cpa.3160240505Citations: 128AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Bibliography 1 Andersson, K. G., Propagation of analyticity of solutions of partial differential equations with constant coefficients, Ark. för Matematik, Vol. 8, 1970, pp. 277– 302. 2 Boman, J., On the propagation of analyticity of solutions of differential equations with constant coefficients, Ark. för Matematik, Vol. 5, 1964, pp. 271– 279. 3 Boutet de Monvel, L., and Krée, P., Pseudodifferential operators and Gevrey classes, Ann. Inst. Fourier Grenoble, Vol. 17, 1967, pp. 295– 323. 4 Ehrenpreis, L., Solution of some problems of division, IV, Amer. J. Math., Vol. 82, 1960, pp. 522– 588. 5 Holmgren, E., Über Systeme von linearen partiellen Differentialgleichungen, Öfversigt af Kongl. Vetenskaps-Akad. Förh., Vol. 58, 1901, pp. 91– 105. 6 Hörmander, L., Linear Partial Differential Operators, Springer-Verlag, Berlin, Göttingen, Heidelberg, 1963. 7 Hörmander, L., On the singularities of solutions of partial differential equations., Comm. on Functional Analysis and Related Topics, Tokyo, 1969, pp. 31– 40. 8 Hörmander, L., On the singularities of solutions of partial differential equations, Comm. Pure Appl. Math., Vol. 23, 1970, pp. 329– 358. 9 Hörmander, L., Fourier integral operators I, Acta Math., Vol. 127, 1971, pp. 79– 183. 10 Hörmander, L., Linear differential operators, to appear in Proc. Intl. Congr. Math., Nice, 1970. 11 John, F., On linear partial differential equations with analytic coefficients. Unique continuation of data, Comm. Pure Appl. Math., Vol. 2, 1949, pp. 209– 253. 12 Malgrange, B., Sur les ouverts convexes par rapport à un opérateur différentiel, C.R. Acad. Sci., Paris, Vol. 254, 1962, pp. 614– 615. 13 Mandelbrojt, S., Analytic Functions and Classes of Infinitely Differentiable Functions, Rice Inst. Pamphlet No. 29:1, 1942. 14 Sato, M., Hyperfunctions and partial differential equations, Conf. on Functional Analysis and Related Topics, Tokyo, 1969, pp. 91– 94. 15 Schapira, P., Théorème d'unicité de Holmgren et opérateurs hyperboliques dans l'espace des hyperfonctions, to appear in Anais da Academia Brasileira de Sciencias. 16 Treves, F., Linear Partial Differential Equations with Constant Coefficients, Gordon and Breach, New York, 1966. 17 Zachmanoglou, E. C., Uniqueness of the Cauchy problem when the initial surface contains characteristic points, Arch. Rat. Mech. Anal., Vol. 23, 1966, pp. 317– 326. 18 Zachmanoglou, E. C., Non-uniqueness of the Cauchy problem for linear partial differential equations with variable coefficients, Arch. Rat. Mech. Anal., Vol. 27, 1968, pp. 373– 384. Citing Literature Volume24, Issue5September 1971Pages 671-704 ReferencesRelatedInformation
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