Global existence of small solutions to semilinear Schrödinger equations

Communications in Partial Differential Equations

Volumn 21, Issue 1-2, 1996, Pages 63-78

  Chihara, Hiroyuki ^a,b  

^a KYOTO UNIVERSITY   (Japan)

^b SHINSHU UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001356194     PISSN: 03605302     EISSN: None     Source Type: Journal    
DOI: 10.1080/03605309608821175     Document Type: Article

References (9)

1. H. Chihara, Local existence for semilinear Schrödinger equations, Math. Japon. 42 (1995), 35-52.
2. _, Global existence of small solutions to semilinear Schrödinger equations with gauge invariance, Publ. RIMS (to appear).
3. S. Doi, On the Cauchy problem for Schrödinger type equations and the regularity of the solutions, J. Math. Kyoto Univ. 34 (1994), 319-328.
4. X. Hayashi and T. Ozawa, Global, small radially symmetric solutions to nonlinear Schrödinger equations and a gauge transformation, Diff. Integral Eqs. 8 (1995), 1061-1072.
5. S. Katayama and Y. Tsutsumi, Global existence of solutions for nonlinear Schrödinger equations in one space dimension, Comm. P.D.E. 19 (1994), 1971-1997.
6. S. Klainerman and G. Ponce, Global, small amplitude, solutions to non-linear evolution equations, Comm. Pure Appl. Math. 36 (1983), 133-141.
7. S. Mizohata. On the Cauchy problem, Academic Press, New York, 1985.
8. J. Shatah, Global existence of small solutions to nonlinear evolution equations, J. Diff. Eqs. 46 (1982), 409-425.
9. A. Soyeur, The Cauchy problem for the Ishimori equations, J. Funct. Anal. 105 (1992), 233-255.