Cauchy problem for some semilinear evolution equations
Mathematica slovaca, Tome 53 (2003) no. 2, pp. 189-197
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Classification : 35A05, 35G05, 35G10
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Agliardi, Rossella. Cauchy problem for some semilinear evolution equations. Mathematica slovaca, Tome 53 (2003) no. 2, pp. 189-197. http://geodesic.mathdoc.fr/item/MASLO_2003_53_2_a4/

[1] AGLIARDI R.: Cauchy problem for non-kowalewskian equations. Internat. J. Math. 6 (1995), 791-804. | MR

[2] AGLIARDI R.: Cauchy problem for evolution equations of Schrodinger type. J. Differential Equations 180 (2002), 89-98. | MR

[3] DIONNE P.: Sur les problémes de Cauchy hyperboliques bien posés. J. Anal. Math. 10 (1962), 1-90. | MR | Zbl

[4] IVRII V. YA.-PETKOV V. M.: Necessary conditions for the Cauchy problem for non strictly hyperbolic equations to be well posed. Uspekhi Mat. Nauk. 29 (1974), 3-70. | MR | Zbl

[5] LEVI E. E.: Caratteristiche multiple e problema di Cauchy. Ann. Mat. Pura Appl. (4) 16 (1909), 161-201.

[6] MIZOHATA S.: Lectures on Cauchy Problem. Tata Inst. of Fund. Research Lectures on Mathematics and Physics. Mathematics. Vol. 35, Tata Inst, of Fund. Research, Bombay, 1965. | MR | Zbl

[7] MIZOHATA S.-OHYA Y.: Sur la condition de E. E. Levi concernent des equations hyperboliques. Publ. Res. Inst. Math. Sci. 4 (1968), 511-526. | MR

[8] MOSER J.: A rapidly convergent interaction method and non-linear partial differential equations. Ann. Scuola Norm. Sup. Pisa CI. Sci. (4) 20 (1966), 256-315.

[9] TAKEUCHI J.: A necessary condition for the well-posedness of the Cauchy problem for a certain class of evolution equations. Proc. Japan. Acad. 50 (1974), 133-137. | MR | Zbl

[10] TAKEUCHI J.: Some remarks on my paper "On the Cauchy problem for some non-kowalewskian equations with distinct characteristic roots". J. Math. Kyoto Univ. 24 (1984), 741-754. | MR | Zbl

[11] TAKEUCHI J.: Le Probleme de Cauchy pour Certaines Equations aux Derivees Partielles du Type de Schrodinger. These de Doctorat de l'Universite Paris 6, 1995.