首页
学术期刊
论文检测
AIGC检测
热点
更多
数据
Smoothing Effect for the Regularized Schrodinger Equation with Non-Controlled Orbits
被引:13
作者
:
Aloui, Lassaad
论文数:
0
引用数:
0
h-index:
0
机构:
No Boarders Univ, Dept Math, Fac Sci, Ar Ar, Saudi Arabia
No Boarders Univ, Dept Math, Fac Sci, Ar Ar, Saudi Arabia
Aloui, Lassaad
[
1
]
Khenissi, Moez
论文数:
0
引用数:
0
h-index:
0
机构:
Ecole Super Sci & Technol Hammam Sousse, Dept Math, Sousse, Tunisia
No Boarders Univ, Dept Math, Fac Sci, Ar Ar, Saudi Arabia
Khenissi, Moez
[
2
]
Vodev, Georgi
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Nantes, Dept Math, CNRS, UMR 6629, F-44072 Nantes, France
No Boarders Univ, Dept Math, Fac Sci, Ar Ar, Saudi Arabia
Vodev, Georgi
[
3
]
机构
:
[1]
No Boarders Univ, Dept Math, Fac Sci, Ar Ar, Saudi Arabia
[2]
Ecole Super Sci & Technol Hammam Sousse, Dept Math, Sousse, Tunisia
[3]
Univ Nantes, Dept Math, CNRS, UMR 6629, F-44072 Nantes, France
来源
:
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
|
2013年
/ 38卷
/ 02期
关键词
:
Resolvent estimates;
Smoothing effect;
Stabilization and geometric control;
35B30;
35B65;
35B40;
93D15;
47A10;
COMPACT MANIFOLDS;
EXTERIOR DOMAINS;
STABILIZATION;
BOUNDARY;
SYSTEMS;
WAVES;
DECAY;
D O I
:
10.1080/03605302.2012.721852
中图分类号
:
O29 [应用数学];
学科分类号
:
070104 ;
摘要
:
We prove that the geometric control condition is not necessary to obtain the smoothing effect and the uniform stabilization for the strongly dissipative Schrodinger equation.
引用
收藏
页码:265 / 275
页数:11
相关论文
共 26 条
[11]
Local Smoothing for Scattering Manifolds with Hyperbolic Trapped Sets
Datchev, Kiril
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA
Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA
Datchev, Kiril
[J].
COMMUNICATIONS IN MATHEMATICAL PHYSICS,
2009,
286
(03)
: 837
-
850
[12]
Stabilization and control for the nonlinear Schrodinger equation on a compact surface
Dehman, B.
论文数:
0
引用数:
0
h-index:
0
机构:
Fac Sci Tunis, Dept Math, Tunis 1060, Tunisia
Fac Sci Tunis, Dept Math, Tunis 1060, Tunisia
Dehman, B.
Gerard, P.
论文数:
0
引用数:
0
h-index:
0
机构:
Fac Sci Tunis, Dept Math, Tunis 1060, Tunisia
Gerard, P.
Lebeau, G.
论文数:
0
引用数:
0
h-index:
0
机构:
Fac Sci Tunis, Dept Math, Tunis 1060, Tunisia
Lebeau, G.
[J].
MATHEMATISCHE ZEITSCHRIFT,
2006,
254
(04)
: 729
-
749
[13]
Doi S, 1996, COMMUN PART DIFF EQ, V21, P163
[14]
Smoothing effects of Schrodinger evolution groups on Riemannian manifolds
Doi, SI
论文数:
0
引用数:
0
h-index:
0
机构:
Department of Mathematics, Faculty of Science, Kyoto University
Doi, SI
[J].
DUKE MATHEMATICAL JOURNAL,
1996,
82
(03)
: 679
-
706
[15]
DECAY OF SOLUTIONS OF THE WAVE-EQUATION IN THE EXTERIOR OF SEVERAL CONVEX-BODIES
IKAWA, M
论文数:
0
引用数:
0
h-index:
0
机构:
OSAKA UNIV,DEPT MATH,TOYONAKA,OSAKA 560,JAPAN
OSAKA UNIV,DEPT MATH,TOYONAKA,OSAKA 560,JAPAN
IKAWA, M
[J].
ANNALES DE L INSTITUT FOURIER,
1988,
38
(02)
: 113
-
146
[16]
Jaffard S., 1990, Portugal. Math, V47, P423
[17]
lgnat L.I., 2006, LONDON MATH SOC LECT, V331, P181
[18]
Locally distributed control and damping for the conservative systems
Liu, KS
论文数:
0
引用数:
0
h-index:
0
机构:
Center for Mathematical Sciences, Zhejiang University, Hangzhou
Liu, KS
[J].
SIAM JOURNAL ON CONTROL AND OPTIMIZATION,
1997,
35
(05)
: 1574
-
1590
[19]
Nonnenmacher S., ARXIV11090930
[20]
Filamentation instability of long Alfven waves in warm collisionless plasmas
Passot, T
论文数:
0
引用数:
0
h-index:
0
机构:
Observ Cote Azur, CNRS, F-06304 Nice 4, France
Observ Cote Azur, CNRS, F-06304 Nice 4, France
Passot, T
Sulem, PL
论文数:
0
引用数:
0
h-index:
0
机构:
Observ Cote Azur, CNRS, F-06304 Nice 4, France
Observ Cote Azur, CNRS, F-06304 Nice 4, France
Sulem, PL
[J].
PHYSICS OF PLASMAS,
2003,
10
(10)
: 3914
-
3921
←
1
2
3
→
共 26 条
[11]
Local Smoothing for Scattering Manifolds with Hyperbolic Trapped Sets
Datchev, Kiril
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA
Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA
Datchev, Kiril
[J].
COMMUNICATIONS IN MATHEMATICAL PHYSICS,
2009,
286
(03)
: 837
-
850
[12]
Stabilization and control for the nonlinear Schrodinger equation on a compact surface
Dehman, B.
论文数:
0
引用数:
0
h-index:
0
机构:
Fac Sci Tunis, Dept Math, Tunis 1060, Tunisia
Fac Sci Tunis, Dept Math, Tunis 1060, Tunisia
Dehman, B.
Gerard, P.
论文数:
0
引用数:
0
h-index:
0
机构:
Fac Sci Tunis, Dept Math, Tunis 1060, Tunisia
Gerard, P.
Lebeau, G.
论文数:
0
引用数:
0
h-index:
0
机构:
Fac Sci Tunis, Dept Math, Tunis 1060, Tunisia
Lebeau, G.
[J].
MATHEMATISCHE ZEITSCHRIFT,
2006,
254
(04)
: 729
-
749
[13]
Doi S, 1996, COMMUN PART DIFF EQ, V21, P163
[14]
Smoothing effects of Schrodinger evolution groups on Riemannian manifolds
Doi, SI
论文数:
0
引用数:
0
h-index:
0
机构:
Department of Mathematics, Faculty of Science, Kyoto University
Doi, SI
[J].
DUKE MATHEMATICAL JOURNAL,
1996,
82
(03)
: 679
-
706
[15]
DECAY OF SOLUTIONS OF THE WAVE-EQUATION IN THE EXTERIOR OF SEVERAL CONVEX-BODIES
IKAWA, M
论文数:
0
引用数:
0
h-index:
0
机构:
OSAKA UNIV,DEPT MATH,TOYONAKA,OSAKA 560,JAPAN
OSAKA UNIV,DEPT MATH,TOYONAKA,OSAKA 560,JAPAN
IKAWA, M
[J].
ANNALES DE L INSTITUT FOURIER,
1988,
38
(02)
: 113
-
146
[16]
Jaffard S., 1990, Portugal. Math, V47, P423
[17]
lgnat L.I., 2006, LONDON MATH SOC LECT, V331, P181
[18]
Locally distributed control and damping for the conservative systems
Liu, KS
论文数:
0
引用数:
0
h-index:
0
机构:
Center for Mathematical Sciences, Zhejiang University, Hangzhou
Liu, KS
[J].
SIAM JOURNAL ON CONTROL AND OPTIMIZATION,
1997,
35
(05)
: 1574
-
1590
[19]
Nonnenmacher S., ARXIV11090930
[20]
Filamentation instability of long Alfven waves in warm collisionless plasmas
Passot, T
论文数:
0
引用数:
0
h-index:
0
机构:
Observ Cote Azur, CNRS, F-06304 Nice 4, France
Observ Cote Azur, CNRS, F-06304 Nice 4, France
Passot, T
Sulem, PL
论文数:
0
引用数:
0
h-index:
0
机构:
Observ Cote Azur, CNRS, F-06304 Nice 4, France
Observ Cote Azur, CNRS, F-06304 Nice 4, France
Sulem, PL
[J].
PHYSICS OF PLASMAS,
2003,
10
(10)
: 3914
-
3921
←
1
2
3
→