| 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 | 
| . | 
| Category:
             | 
math | 
| . | 
| MSC:
             | 
35A05 | 
| MSC:
             | 
35G05 | 
| MSC:
             | 
35G10 | 
| idZBL:
             | 
Zbl 1049.35075 | 
| idMR:
             | 
MR1986259 | 
| . | 
| Date available:
             | 
2009-09-25T14:13:58Z | 
| Last updated:
             | 
2012-08-01 | 
| Stable URL:
             | 
http://hdl.handle.net/10338.dmlcz/128943 | 
| . | 
| 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. | 
| . |