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Unique continuation theorems for solutions of partial differential equations. (English) Zbl 0404.35003


MSC:

35A05 General existence and uniqueness theorems (PDE) (MSC2000)
35A30 Geometric theory, characteristics, transformations in context of PDEs
35L10 Second-order hyperbolic equations
35L60 First-order nonlinear hyperbolic equations
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[1] Serge Alinhac, Problèmes de Cauchy pour des opérateurs singuliers, Bull. Soc. Math. France 102 (1974), 289 – 315 (French). · Zbl 0303.35021
[2] H. O. Cordes, Über die eindeutige Bestimmtheit der Lösungen elliptischer Differentialgleichungen durch Anfangsvorgaben, Nachr. Akad. Wiss. Göttingen. Math.-Phys. Kl. IIa. 1956 (1956), 239 – 258 (German). · Zbl 0074.08002
[3] Lars Hörmander, Uniqueness theorems and wave front sets for solutions of linear differential equations with analytic coefficients, Comm. Pure Appl. Math. 24 (1971), 671 – 704. · Zbl 0226.35019
[4] Fritz John, On linear partial differential equations with analytic coefficients. Unique continuation of data, Comm. Pure Appl. Math. 2 (1949), 209 – 253. · Zbl 0035.34601
[5] Mikio Sato, Takahiro Kawai, and Masaki Kashiwara, Microfunctions and pseudo-differential equations, Hyperfunctions and pseudo-differential equations (Proc. Conf., Katata, 1971; dedicated to the memory of André Martineau), Springer, Berlin, 1973, pp. 265 – 529. Lecture Notes in Math., Vol. 287. · Zbl 0277.46039
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