-
1
-
-
57849105880
-
Entropy and the localization of eigenfunctions
-
Anantharaman N.: Entropy and the localization of eigenfunctions. Annals of Math. 168(2), 435-475 (2008).
-
(2008)
Annals of Math.
, vol.168
, Issue.2
, pp. 435-475
-
-
Anantharaman, N.1
-
2
-
-
40949115555
-
Half-delocalization of eigenfunctions for the Laplacian on an Anosov manifold
-
Anantharaman N., Nonnenmacher S.: Half-delocalization of eigenfunctions for the Laplacian on an Anosov manifold. Ann. Inst. Fourier (Grenoble) 57(7), 1465-2523 (2007).
-
(2007)
Ann. Inst. Fourier (Grenoble)
, vol.57
, Issue.7
, pp. 1465-2523
-
-
Anantharaman, N.1
Nonnenmacher, S.2
-
4
-
-
0141511737
-
Eigenfunctions which are concentrated in the neighborhood of a closed geodesic (in Russian)
-
Babič V. M.: Eigenfunctions which are concentrated in the neighborhood of a closed geodesic (in Russian). Zap. Nau cn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI) 9, 15-63 (1968).
-
(1968)
Zap. Nau Cn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI)
, vol.9
, pp. 15-63
-
-
Babič, V.M.1
-
5
-
-
35648961455
-
The nonlinear Schrödinger equation on the hyperbolic space
-
Banica V.: The nonlinear Schrödinger equation on the hyperbolic space. Comm. PDE 32(10), 1643-1677 (2007).
-
(2007)
Comm. PDE
, vol.32
, Issue.10
, pp. 1643-1677
-
-
Banica, V.1
-
6
-
-
77956648227
-
-
p estimates, Arxiv: 0711. 358.
-
-
-
-
7
-
-
77956651279
-
Littlewood-Paley decompositions on manifolds with ends
-
Bouclet J.-M.: Littlewood-Paley decompositions on manifolds with ends. Bull. Soc. Math. Fr. 138(1), 1-37 (2010).
-
(2010)
Bull. Soc. Math. Fr.
, vol.138
, Issue.1
, pp. 1-37
-
-
Bouclet, J.-M.1
-
8
-
-
77956650458
-
-
J.-M. Bouclet, Strichartz estimates for asymptotically hyperbolic manifolds, Analysis and PDE, in press.
-
-
-
-
9
-
-
38049181248
-
-
Bouclet J.-M., Tzvetkov N.: Strichartz estimates for long range perturbations. Amer. J. Math. 129: 6, 1665-1609 (2007).
-
-
-
-
10
-
-
34250084341
-
Fourier transform restriction phenomena for certain lattice subsets and application to nonlinear evolution equations I
-
Bourgain J.: Fourier transform restriction phenomena for certain lattice subsets and application to nonlinear evolution equations I. Schrödinger equations. Geom. Funct. Anal. 3, 107-156 (1993).
-
(1993)
Schrödinger Equations. Geom. Funct. Anal.
, vol.3
, pp. 107-156
-
-
Bourgain, J.1
-
11
-
-
3142714420
-
Smoothing effect for Schrödinger boundary value problems
-
Burq N.: Smoothing effect for Schrödinger boundary value problems. Duke Math. J. 123(2), 403-427 (2004).
-
(2004)
Duke Math. J.
, vol.123
, Issue.2
, pp. 403-427
-
-
Burq, N.1
-
12
-
-
2942564358
-
Strichartz inequalities and the non-linear Schrödinger equation on compact manifolds
-
Burq N., Gerard P., Tzvetkov N.: Strichartz inequalities and the non-linear Schrödinger equation on compact manifolds. Amer. J. Math 126, 569-605 (2004).
-
(2004)
Amer. J. Math
, vol.126
, pp. 569-605
-
-
Burq, N.1
Gerard, P.2
Tzvetkov, N.3
-
13
-
-
2642542715
-
On Nonlinear Schrödinger equations in exterior domains
-
Burq N., Gerard P., Tzvetkov N.: On Nonlinear Schrödinger equations in exterior domains. Ann. I. H. P. Ana. non lin. 21, 295-318 (2004).
-
(2004)
Ann. I.H.P. Ana. Non Lin.
, vol.21
, pp. 295-318
-
-
Burq, N.1
Gerard, P.2
Tzvetkov, N.3
-
14
-
-
1842843728
-
Geometric control in the presence of a black box
-
Burq N., Zworski M.: Geometric control in the presence of a black box. J. Amer. Math. Soc. 17(2), 443-471 (2004).
-
(2004)
J. Amer. Math. Soc.
, vol.17
, Issue.2
, pp. 443-471
-
-
Burq, N.1
Zworski, M.2
-
15
-
-
0036025586
-
Uniform estimates of the Laplace-Beltrami operator on infinite volume Riemannian manifolds II
-
Cardoso F., Vodev G.: Uniform estimates of the Laplace-Beltrami operator on infinite volume Riemannian manifolds II. Ann. H. Poincaré 3, 673-691 (2002).
-
(2002)
Ann. H. Poincaré
, vol.3
, pp. 673-691
-
-
Cardoso, F.1
Vodev, G.2
-
16
-
-
23844511635
-
Global existence results for nonlinear Schrödinger equations with quadratic potentials
-
Carles R.: Global existence results for nonlinear Schrödinger equations with quadratic potentials. Discrete Contin. Dyn. Syst. 13(2), 385-398 (2005).
-
(2005)
Discrete Contin. Dyn. Syst.
, vol.13
, Issue.2
, pp. 385-398
-
-
Carles, R.1
-
17
-
-
0035255579
-
Maximal functions associated to filtrations
-
Christ M., Kiselev A.: Maximal functions associated to filtrations. J. Funct. Anal. 179, 409-425 (2001).
-
(2001)
J. Funct. Anal.
, vol.179
, pp. 409-425
-
-
Christ, M.1
Kiselev, A.2
-
18
-
-
59449101954
-
Cutoff resolvent estimates and the semilinear Schrödinger equation, Proc
-
Christianson H.: Cutoff resolvent estimates and the semilinear Schrödinger equation, Proc. Amer. Math. Soc. 136(10), 3513-3520 (2008).
-
(2008)
Amer. Math. Soc.
, vol.136
, Issue.10
, pp. 3513-3520
-
-
Christianson, H.1
-
19
-
-
0040245853
-
Effets régularisants locaux pour des équations dispersives générales
-
Constantin P., Saut J.-C.: Effets régularisants locaux pour des équations dispersives générales. C. R. AcadS ci. Paris Sér. I Math. 304(14), 407-410 (1987).
-
(1987)
C. R. AcadS Ci. Paris Sér. I Math.
, vol.304
, Issue.14
, pp. 407-410
-
-
Constantin, P.1
Saut, J.-C.2
-
20
-
-
59449094977
-
-
K. Datchev, Local smoothing for scattering manifolds with hyperbolic trapped sets, Comm. Math. Phys. 286: 3, 837-850.
-
-
-
-
21
-
-
0039250942
-
Smoothing effects for Schrödinger evolution equation and global behaviour of geodesic flow
-
Doi S.-I.: Smoothing effects for Schrödinger evolution equation and global behaviour of geodesic flow. Math. Ann. 318, 355-389 (2000).
-
(2000)
Math. Ann.
, vol.318
, pp. 355-389
-
-
Doi, S.-I.1
-
22
-
-
36549094784
-
Semiclassical quantization of the scattering from a classically chaotic repellor
-
Gaspard P., Rice S. A.: Semiclassical quantization of the scattering from a classically chaotic repellor. J. Chem. Phys. 90, 2242-2254 (1989).
-
(1989)
J. Chem. Phys.
, vol.90
, pp. 2242-2254
-
-
Gaspard, P.1
Rice, S.A.2
-
23
-
-
77956649005
-
-
C. Guillarmou, S. Moroianu, J. Park, Eta invariant and Selberg Zeta function of odd type over convex co-compact hyperbolic manifolds., Advances in Math., to appear; Arxiv 0901. 4082.
-
-
-
-
24
-
-
77956652075
-
-
B. Hasselblatt, A. Katok, Introduction to the Modern Theory of Dynamical Systems, Cambridge University Press, 1997.
-
-
-
-
25
-
-
33748331204
-
Sharp Strichartz estimates on nontrapping asymptotically conic manifolds
-
Hassell A., Tao T., Wunsch J.: Sharp Strichartz estimates on nontrapping asymptotically conic manifolds. Amer. J. Math. 128(4), 963-1024 (2006).
-
(2006)
Amer. J. Math.
, vol.128
, Issue.4
, pp. 963-1024
-
-
Hassell, A.1
Tao, T.2
Wunsch, J.3
-
26
-
-
0000059859
-
Symbolic functional calculus and N-body resolvent estimates
-
Hassell A., Vasy A.: Symbolic functional calculus and N-body resolvent estimates. J. Funct. Anal. 173(2), 257-283 (2000).
-
(2000)
J. Funct. Anal.
, vol.173
, Issue.2
, pp. 257-283
-
-
Hassell, A.1
Vasy, A.2
-
28
-
-
0001138601
-
Endpoint Strichartz estimates
-
Keel M., Tao T.: Endpoint Strichartz estimates. Amer. J. Math. 15, 955-980 (1998).
-
(1998)
Amer. J. Math.
, vol.15
, pp. 955-980
-
-
Keel, M.1
Tao, T.2
-
30
-
-
0001189870
-
Meromorphic extension of the resolvent on complete spaces with asymptotically constant negative curvature
-
Mazzeo R., Melrose R.: Meromorphic extension of the resolvent on complete spaces with asymptotically constant negative curvature. J. Funct. Anal. 75, 260-310 (1987).
-
(1987)
J. Funct. Anal.
, vol.75
, pp. 260-310
-
-
Mazzeo, R.1
Melrose, R.2
-
31
-
-
77956650664
-
-
R. B. Melrose, Spectral and scattering theory for the Laplacian on asymptotically Euclidian spaces, in "Spectral and Scattering Theory" (M. Ikawa, ed.), Marcel Dekker, 1994.
-
-
-
-
32
-
-
72249107608
-
Quantum decay rates in chaotic scattering
-
Nonnenmacher S., Zworski M.: Quantum decay rates in chaotic scattering. Acta Math. 203(2), 149-233 (2009).
-
(2009)
Acta Math.
, vol.203
, Issue.2
, pp. 149-233
-
-
Nonnenmacher, S.1
Zworski, M.2
-
33
-
-
77956652775
-
-
G. P. Paternain, Geodesic Flows. Progress in Mathematics 180, Birkhäuser Boston Inc., Boston MA (1999).
-
-
-
-
34
-
-
0000131067
-
The limit set of a Fuchsian group
-
Patterson S. J.: The limit set of a Fuchsian group. Acta Math. 136, 241-273 (1976).
-
(1976)
Acta Math.
, vol.136
, pp. 241-273
-
-
Patterson, S.J.1
-
35
-
-
0035589894
-
Asymptotics of the length spectrum for hyperbolic manifolds of infinite volume
-
Perry P.: Asymptotics of the length spectrum for hyperbolic manifolds of infinite volume. Geom. Funct. Anal. 11, 132-141 (2001).
-
(2001)
Geom. Funct. Anal.
, vol.11
, pp. 132-141
-
-
Perry, P.1
-
36
-
-
77956648446
-
-
M. F. Py skina, The asymptotic behavior of eigenfunctions of the Helmholtz equation that are concentrated near a closed geodesic (in Russian), Zap. Nau cn. Sem. Leningrad. Otdel. Mat. Inst. Steklov (LOMI) 15 (1969), 154-160.
-
-
-
-
37
-
-
0000792579
-
On the construction of quasimodes associated with stable periodic orbits
-
Ralston J. V.: On the construction of quasimodes associated with stable periodic orbits. Comm. Math. Phys. 51-3, 219-242 (1976).
-
(1976)
Comm. Math. Phys.
, vol.3-51
, pp. 219-242
-
-
Ralston, J.V.1
-
38
-
-
77956651243
-
-
J. Schmeling, R. Siegmund-Schultze, Hölder continuity of the holonomy maps for hyperbolic basic sets. I., Ergodic Theory and Related Topics, III (Güstrow, 1990), Springer Lecture Notes in Math. 1514 (1992), 174-191.
-
-
-
-
39
-
-
0036383355
-
Strichartz estimates for a Schrödinger operator with nonsmooth coefficients
-
Staffilani G., Tataru D.: Strichartz estimates for a Schrödinger operator with nonsmooth coefficients. Comm. Part. Diff. Eq. 27(7-8), 1337-1372 (2002).
-
(2002)
Comm. Part. Diff. Eq.
, vol.27
, Issue.7-8
, pp. 1337-1372
-
-
Staffilani, G.1
Tataru, D.2
-
40
-
-
84972553620
-
Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations
-
Strichartz R.: Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations. Duke Math. J. 44(3), 705-714 (1977).
-
(1977)
Duke Math. J.
, vol.44
, Issue.3
, pp. 705-714
-
-
Strichartz, R.1
-
41
-
-
51249182653
-
The density at infinity of a discrete group of hyperbolic motions
-
Sullivan D.: The density at infinity of a discrete group of hyperbolic motions. Publ. IHES 50, 172-202 (1979).
-
(1979)
Publ. IHES
, vol.50
, pp. 172-202
-
-
Sullivan, D.1
-
42
-
-
0040970521
-
On 2D nonlinear Schrödinger equation on R × T
-
Takaoka H., Tzvetkov N.: On 2D nonlinear Schrödinger equation on R × T. J. Funct. Anal. 182(2), 427-442 (2001).
-
(2001)
J. Funct. Anal.
, vol.182
, Issue.2
, pp. 427-442
-
-
Takaoka, H.1
Tzvetkov, N.2
-
43
-
-
0040199721
-
Distribution of resonances for asymptotically Euclidean manifolds
-
Wunsch J., Zworski M.: Distribution of resonances for asymptotically Euclidean manifolds. J. Diff. Geom. 55, 43-82 (2000).
-
(2000)
J. Diff. Geom.
, vol.55
, pp. 43-82
-
-
Wunsch, J.1
Zworski, M.2
-
44
-
-
0033473946
-
Dimension of the limit set and the density of resonances for convex co-compact hyperbolic surfaces
-
Zworski M.: Dimension of the limit set and the density of resonances for convex co-compact hyperbolic surfaces. Invent. Math. 136(2), 353-409 (1999).
-
(1999)
Invent. Math.
, vol.136
, Issue.2
, pp. 353-409
-
-
Zworski, M.1
|