MR1847834
Yoshihisa NAKAMURA
Yoshihisa NAKAMURA
Local Solvability and Smoothing Effects of Nonlinear Schrödinger Equations with Magnetic Fields
Funkcialaj Ekvacioj. Serio Internacia
44
2001
1--18
http://fe.math.kobe-u.ac.jp/FE/FullPapers/vol44/fe44-1-1.pdf
http://www.ams.org/mathscinet-getitem?mr=MR1847834
44-1
2001
Local Solvability and Smoothing Effects of Nonlinear Schrödinger Equations with Magnetic Fields
Yoshihisa NAKAMURA
Yoshihisa NAKAMURA
1
Ben-Artzi, M.
Global estimates for Schrödinger equation
J. Functional Anal.
107
1992
362-368
MR1172030
2
de Bouard, A.
Nonlinear Schrödinger equations with magnetic fields
Differential Integral Equations
4
1991
73-88
MR1079611
3
Ginibre, J.; Velo, G.
On a class of nonlinear Schrödinger equations. I The Cauchy problem. General case
J. Functional Anal.
32
1979
1-32
MR0533218
4
Kato, T.
On nonlinear Schrödinger equations
Ann. Inst. H. Poincaré, Phys. Théor.
46
1987
113-129
MR0877998
5
Kato, T.
Nonlinear Schrödinger equations
in "Schrödinger operators", (H. Holden and A. Jensen eds.) Lecture Notes in Physics 345, Springer-Verlag, Berlin-New York
1989
218-263
MR1037322
6
Kato, T.; Yajima, K.
Some examples of smooth operators and the associated smoothing effect
Rev. Math. Phys.
1
1989
481-496
MR1061120
7
Nakamura, Y.
Regularity of solutions to nonlinear Schrödinger equations with $H^2$ initial data
Yokohama Math. J.
47
1999
59-73
MR1727532
8
Oh, Y. G.
Cauchy problem and Ehrenfest's Law for nonlinear Schrödinger equations with potentials
J. Differential Equations
81
1989
255-274
MR1016082
9
Ruiz, A.; Vega, L.
On local regularity of Schrödinger equations
Internat. Math. Res. Notices
1993
1993
13-27
MR1201747
10
Sjö1in, P.
Regularity of solutions to the Schrödinger equations
Duke Math. J.
55
1987
699-715
MR0904948
11
Sjö1in, P.
Regularity of solutions to nonlinear Schrödinger equations
Ark. Mat.
28
1990
145-157
MR1049648
12
Sjö1in, P.
Regularity of solutions to nonlinear equations of Schrödinger type
Tohoku Math. J.
45
1993
191-203
MR1215924
13
Tsutsumi, Y.
$L^2$-solutions for nonlinear Schrödinger equations and nonlinear groups
Funkcial. Ekvac.
30
1987
115-125
MR0915266
0915266
14
Tsutsumi, Y.
Global strong solutions for nonlinear Schrödinger equations
Nonlinear Anal.
11
1987
1143-1154
MR0913674
15
Yajima, K.
Existence of solutions for Schrödinger evolution equations
Comm. Math. Phys.
110
1987
415-426
MR0891945
16
Yajima, K.
On smoothing property of Schrödinger propagators
in "Functional-Analytic Methods for Partial Differential Equations", (H. Fujita, T. Ikebe, S. T. Kuroda eds), Lecture Notes in Mathematics 1450, Springer-Verlag, Berlin-New York
1989
20-35
MR1084599
17
Yajima, K.
Schrödinger evolution equations with magnetic fields
J. d'Analyse Math.
56
1991
29-76
MR1243098