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Title: Cauchy problem for some semilinear evolution equations (English)
Author: Agliardi, Rossella
Language: English
Journal: Mathematica Slovaca
ISSN: 0139-9918
Volume: 53
Issue: 2
Year: 2003
Pages: 189-197
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Category: math
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MSC: 35A05
MSC: 35G05
MSC: 35G10
idZBL: Zbl 1049.35075
idMR: MR1986259
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Date available: 2009-09-25T14:13:58Z
Last updated: 2012-08-01
Stable URL: http://hdl.handle.net/10338.dmlcz/128943
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Reference: [1] AGLIARDI R.: Cauchy problem for non-kowalewskian equations.Internat. J. Math. 6 (1995), 791-804. MR 1353995
Reference: [2] AGLIARDI R.: Cauchy problem for evolution equations of Schrodinger type.J. Differential Equations 180 (2002), 89-98. MR 1890599
Reference: [3] DIONNE P.: Sur les problémes de Cauchy hyperboliques bien posés.J. Anal. Math. 10 (1962), 1-90. Zbl 0112.32301, MR 0150475
Reference: [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. Zbl 0312.35049, MR 0427843
Reference: [5] LEVI E. E.: Caratteristiche multiple e problema di Cauchy.Ann. Mat. Pura Appl. (4) 16 (1909), 161-201.
Reference: [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. Zbl 0176.08502, MR 0219881
Reference: [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 0276606
Reference: [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.
Reference: [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. Zbl 0308.35061, MR 0367491
Reference: [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. Zbl 0572.35020, MR 0775984
Reference: [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.
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