Remarks on the Cauchy problem for Schrödinger-type equations

Communications in Partial Differential Equations

Volumn 21, Issue 1-2, 1996, Pages 163-178

  Doi, Shin Ichi ^a  

^a KYOTO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002604507     PISSN: 03605302     EISSN: None     Source Type: Journal    
DOI: 10.1080/03605309608821178     Document Type: Article

References (10)

1. S. Doi, On the Cauchy problem for Schrödinger type equations and the regularity of solutions, J. Math. Kyoto Univ. 34 (1994), 319-328.
2. J. J. Duistermaat and L. Hörmander. Fourier integral operators. II, Acta Math. 128 (1972), 183-269.
3. C. Gérard et A. Martinez, Principe d'absorption limite pour des opérateurs de Schrödinger à longue portée, C. R. Acad. Sci. Paris 306, Série I (1988), 121-123.
4. x-wellposed Cauchy problem of Schrödinger type equations with variable coefficients, J. Math. Kyoto Univ. 32 (1992), 287-305.
5. L. Hörmander, "The analysis of linear partial differential operators III," Springer-Verlag, 1985.
6. W. Ichinose, The Cauchy problem for Schrödinger type equations with variable coefficients, Osaka J. Math. 24 (1987), 853-886.
7. 2 well posedness of the Cauchy problem for Schrödinger type equations on the Riemannian manifold and the Maslov theory, Duke Math. J. 56 (1988), 549-588.
8. W. Ichinose, A note on the Cauchy problem for Schrödinger type equations on the Riemannian manifold, Math. Japonica 35 (1990), 205-213.
9. K. Kajitani, The Cauchy problem for Schrödinger type equations with variable coefficients, preprint.
10. e série 119 (1995) (to appear).