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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
[1]
Smoothing effect for regularized Schrodinger equation on compact manifolds
Aloui, L.
论文数:
0
引用数:
0
h-index:
0
机构:
Fac Sci Bizerte, Dept Math, Tunis 1060, Tunisia
LAMSIN, Tunis 1060, Tunisia
Fac Sci Bizerte, Dept Math, Tunis 1060, Tunisia
Aloui, L.
[J].
COLLECTANEA MATHEMATICA,
2008,
59
(01)
: 53
-
62
[2]
Smoothing effect for regularized Schrodinger equation on bounded domains
Aloui, L.
论文数:
0
引用数:
0
h-index:
0
机构:
Fac Sci Tunis, Dept Matemat, Bizerte & LAMSIN, Tunis 1060, Tunisia
Fac Sci Tunis, Dept Matemat, Bizerte & LAMSIN, Tunis 1060, Tunisia
Aloui, L.
[J].
ASYMPTOTIC ANALYSIS,
2008,
59
(3-4)
: 179
-
193
[3]
Aloui L., ARXIV12041904
[4]
Stabilization of Schrodinger equation in exterior domains
Aloui, Lassaad
论文数:
0
引用数:
0
h-index:
0
机构:
Fac Sci Bizerte, Dept Math, Bizerte, Tunisia
Fac Sci Bizerte, Dept Math, Bizerte, Tunisia
Aloui, Lassaad
Khenissi, Moez
论文数:
0
引用数:
0
h-index:
0
机构:
Fac Sci Bizerte, Dept Math, Bizerte, Tunisia
Khenissi, Moez
[J].
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS,
2007,
13
(03)
: 570
-
579
[5]
SHARP SUFFICIENT CONDITIONS FOR THE OBSERVATION, CONTROL, AND STABILIZATION OF WAVES FROM THE BOUNDARY
BARDOS, C
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV PARIS 11,DEPT MATH,F-91405 ORSAY,FRANCE
BARDOS, C
LEBEAU, G
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV PARIS 11,DEPT MATH,F-91405 ORSAY,FRANCE
LEBEAU, G
RAUCH, J
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV PARIS 11,DEPT MATH,F-91405 ORSAY,FRANCE
RAUCH, J
[J].
SIAM JOURNAL ON CONTROL AND OPTIMIZATION,
1992,
30
(05)
: 1024
-
1065
[6]
On nonlinear Schrodinger equations in exterior domains
Burq, N
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Paris 11, F-91405 Orsay, France
Univ Paris 11, F-91405 Orsay, France
Burq, N
Gérard, P
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Paris 11, F-91405 Orsay, France
Univ Paris 11, F-91405 Orsay, France
Gérard, P
Tzvetkov, N
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Paris 11, F-91405 Orsay, France
Univ Paris 11, F-91405 Orsay, France
Tzvetkov, N
[J].
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE,
2004,
21
(03):
: 295
-
318
[7]
Smoothing effect for Schrodinger boundary value problems
Burq, N
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Paris 11, Dept Math, F-91405 Orsay, France
Univ Paris 11, Dept Math, F-91405 Orsay, France
Burq, N
[J].
DUKE MATHEMATICAL JOURNAL,
2004,
123
(02)
: 403
-
427
[8]
Boundary stabilization of transmission problems
Cardoso, Fernando
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Fed Pernambuco, Dept Matemat, BR-50540740 Recife, PE, Brazil
Univ Nantes, CNRS, UMR 6629, Dept Math, F-44332 Nantes 03, France
Cardoso, Fernando
Vodev, Georgi
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Nantes, CNRS, UMR 6629, Dept Math, F-44332 Nantes 03, France
Univ Nantes, CNRS, UMR 6629, Dept Math, F-44332 Nantes 03, France
Vodev, Georgi
[J].
JOURNAL OF MATHEMATICAL PHYSICS,
2010,
51
(02)
[9]
Semiclassical non-concentration near hyperbolic orbits
Christianson, Hans
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
Christianson, Hans
[J].
JOURNAL OF FUNCTIONAL ANALYSIS,
2007,
246
(02)
: 145
-
195
[10]
Semiclassical non-concentration near hyperbolic orbits (vol 246, pg 145, 2007)
Christianson, Hans
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
Christianson, Hans
[J].
JOURNAL OF FUNCTIONAL ANALYSIS,
2010,
258
(03)
: 1060
-
1065
←
1
2
3
→
共 26 条
[1]
Smoothing effect for regularized Schrodinger equation on compact manifolds
Aloui, L.
论文数:
0
引用数:
0
h-index:
0
机构:
Fac Sci Bizerte, Dept Math, Tunis 1060, Tunisia
LAMSIN, Tunis 1060, Tunisia
Fac Sci Bizerte, Dept Math, Tunis 1060, Tunisia
Aloui, L.
[J].
COLLECTANEA MATHEMATICA,
2008,
59
(01)
: 53
-
62
[2]
Smoothing effect for regularized Schrodinger equation on bounded domains
Aloui, L.
论文数:
0
引用数:
0
h-index:
0
机构:
Fac Sci Tunis, Dept Matemat, Bizerte & LAMSIN, Tunis 1060, Tunisia
Fac Sci Tunis, Dept Matemat, Bizerte & LAMSIN, Tunis 1060, Tunisia
Aloui, L.
[J].
ASYMPTOTIC ANALYSIS,
2008,
59
(3-4)
: 179
-
193
[3]
Aloui L., ARXIV12041904
[4]
Stabilization of Schrodinger equation in exterior domains
Aloui, Lassaad
论文数:
0
引用数:
0
h-index:
0
机构:
Fac Sci Bizerte, Dept Math, Bizerte, Tunisia
Fac Sci Bizerte, Dept Math, Bizerte, Tunisia
Aloui, Lassaad
Khenissi, Moez
论文数:
0
引用数:
0
h-index:
0
机构:
Fac Sci Bizerte, Dept Math, Bizerte, Tunisia
Khenissi, Moez
[J].
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS,
2007,
13
(03)
: 570
-
579
[5]
SHARP SUFFICIENT CONDITIONS FOR THE OBSERVATION, CONTROL, AND STABILIZATION OF WAVES FROM THE BOUNDARY
BARDOS, C
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV PARIS 11,DEPT MATH,F-91405 ORSAY,FRANCE
BARDOS, C
LEBEAU, G
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV PARIS 11,DEPT MATH,F-91405 ORSAY,FRANCE
LEBEAU, G
RAUCH, J
论文数:
0
引用数:
0
h-index:
0
机构:
UNIV PARIS 11,DEPT MATH,F-91405 ORSAY,FRANCE
RAUCH, J
[J].
SIAM JOURNAL ON CONTROL AND OPTIMIZATION,
1992,
30
(05)
: 1024
-
1065
[6]
On nonlinear Schrodinger equations in exterior domains
Burq, N
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Paris 11, F-91405 Orsay, France
Univ Paris 11, F-91405 Orsay, France
Burq, N
Gérard, P
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Paris 11, F-91405 Orsay, France
Univ Paris 11, F-91405 Orsay, France
Gérard, P
Tzvetkov, N
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Paris 11, F-91405 Orsay, France
Univ Paris 11, F-91405 Orsay, France
Tzvetkov, N
[J].
ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE,
2004,
21
(03):
: 295
-
318
[7]
Smoothing effect for Schrodinger boundary value problems
Burq, N
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Paris 11, Dept Math, F-91405 Orsay, France
Univ Paris 11, Dept Math, F-91405 Orsay, France
Burq, N
[J].
DUKE MATHEMATICAL JOURNAL,
2004,
123
(02)
: 403
-
427
[8]
Boundary stabilization of transmission problems
Cardoso, Fernando
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Fed Pernambuco, Dept Matemat, BR-50540740 Recife, PE, Brazil
Univ Nantes, CNRS, UMR 6629, Dept Math, F-44332 Nantes 03, France
Cardoso, Fernando
Vodev, Georgi
论文数:
0
引用数:
0
h-index:
0
机构:
Univ Nantes, CNRS, UMR 6629, Dept Math, F-44332 Nantes 03, France
Univ Nantes, CNRS, UMR 6629, Dept Math, F-44332 Nantes 03, France
Vodev, Georgi
[J].
JOURNAL OF MATHEMATICAL PHYSICS,
2010,
51
(02)
[9]
Semiclassical non-concentration near hyperbolic orbits
Christianson, Hans
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
Christianson, Hans
[J].
JOURNAL OF FUNCTIONAL ANALYSIS,
2007,
246
(02)
: 145
-
195
[10]
Semiclassical non-concentration near hyperbolic orbits (vol 246, pg 145, 2007)
Christianson, Hans
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
Christianson, Hans
[J].
JOURNAL OF FUNCTIONAL ANALYSIS,
2010,
258
(03)
: 1060
-
1065
←
1
2
3
→