-
2
-
-
85036944837
-
-
Ramona Anton. Strichartz Inequalities for Lipschitz Metrics on Manifolds and Nonlinear
-
Ramona Anton. Strichartz Inequalities for Lipschitz Metrics on Manifolds and Nonlinear
-
-
-
-
3
-
-
85036954053
-
-
Schrödinger Equation on Domains. to appear in Bulletin de la Société Mathématique de France.
-
Schrödinger Equation on Domains. to appear in Bulletin de la Société Mathématique de France.
-
-
-
-
4
-
-
0034355370
-
Besov spaces and Strichartz estimates on the Heisenberg group. (Espaces de Besov et estimations de Strichartz généralisées sur le groupe de Heisenberg.)
-
Hajer Bahouri, Patrick Gérard, and Chao-Jiang Xu. Besov spaces and Strichartz estimates on the Heisenberg group. (Espaces de Besov et estimations de Strichartz généralisées sur le groupe de Heisenberg.). J. Anal. Math., 82:93-118, 2000.
-
(2000)
J. Anal. Math
, vol.82
, pp. 93-118
-
-
Bahouri, H.1
Gérard, P.2
Xu, C.-J.3
-
5
-
-
85036939412
-
-
Valeria Banica. The nonlinear Schrödinger equation on hyperbolic space. to appear in Comm. P.D.E., 2005.
-
Valeria Banica. The nonlinear Schrödinger equation on hyperbolic space. to appear in Comm. P.D.E., 2005.
-
-
-
-
6
-
-
85036933125
-
-
Valeria Banica, Rémi Carles, and Gigliola Staffilani. Scattering theory for radial nonlinear Schrödinger equations on hyperbolic space. to appear in G.A.F.A., 2006.
-
Valeria Banica, Rémi Carles, and Gigliola Staffilani. Scattering theory for radial nonlinear Schrödinger equations on hyperbolic space. to appear in G.A.F.A., 2006.
-
-
-
-
7
-
-
0001240303
-
Nonexistence of asymptotically free solutions for a nonlinear Schrödinger equation
-
Jacqueline E. Barab. Nonexistence of asymptotically free solutions for a nonlinear Schrödinger equation. J. Math. Phys., 25:3270-3273, 1984.
-
(1984)
J. Math. Phys
, vol.25
, pp. 3270-3273
-
-
Barab, J.E.1
-
8
-
-
33646121745
-
Some dispersive estimates for Schrödinger equations with repulsive potentials
-
Juan A. Barcelo, Alberto Ruiz, and Luis Vega. Some dispersive estimates for Schrödinger equations with repulsive potentials. J. Funct. Anal., 236(1):1-24, 2006.
-
(2006)
J. Funct. Anal
, vol.236
, Issue.1
, pp. 1-24
-
-
Barcelo, J.A.1
Ruiz, A.2
Vega, L.3
-
9
-
-
85036920335
-
-
F.A. Berezin and M.A. Shubin. The Schrödinger equation. Transl. from the Russian by Yu. Rajabov, D. A. Leites and N. A. Sakharova. Rev. and exp. version. Mathematics and Its Applications. Soviet Series. 66. Dordrecht etc.: Kluwer Academic Publishers. xvii, 555 p. 1991.
-
F.A. Berezin and M.A. Shubin. The Schrödinger equation. Transl. from the Russian by Yu. Rajabov, D. A. Leites and N. A. Sakharova. Rev. and exp. version. Mathematics and Its Applications. Soviet Series. 66. Dordrecht etc.: Kluwer Academic Publishers. xvii, 555 p. 1991.
-
-
-
-
10
-
-
0003207990
-
Generalized Heisenberg groups and Damek-Ricci harmonic spaces
-
Berlin: Springer-Verlag. viii, 125 p
-
Jurgen Berndt, Franco Tricerri, and Lieven Vanhecke. Generalized Heisenberg groups and Damek-Ricci harmonic spaces. Lecture Notes in Mathematics. 1598. Berlin: Springer-Verlag. viii, 125 p., 1995.
-
(1995)
Lecture Notes in Mathematics
, vol.1598
-
-
Berndt, J.1
Tricerri, F.2
Vanhecke, L.3
-
11
-
-
85036935074
-
arXiv:math/0609455
-
Matthew Blair, Hart Smith, and Christopher Sogge. On Stricbartz; estimates for Schrödinger operators in compact manifolds with boundary. arXiv:math/0609455, 2006.
-
(2006)
-
-
Blair, M.1
Smith, H.2
Sogge, C.3
-
12
-
-
85036931777
-
Strichartz estimates on asymptotically hyperbolic manifolds
-
in preparation
-
Jean-Marc Bouclet. Strichartz estimates on asymptotically hyperbolic manifolds, in preparation.
-
-
-
Bouclet, J.-M.1
-
13
-
-
39349113667
-
arXiv:math/0611705
-
Jean-Marc Bouclet and Nikolay Tzvetkov. On global Strichartz estimates for non trapping metrics. arXiv:math/0611705, 2006.
-
(2006)
-
-
Bouclet, J.-M.1
Tzvetkov, N.2
-
14
-
-
34250084341
-
Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations
-
J. Bourgain. Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations. Geom. Funct. Anal., 3(2):107-156, 1993.
-
(1993)
Geom. Funct. Anal
, vol.3
, Issue.2
, pp. 107-156
-
-
Bourgain, J.1
-
16
-
-
2642542715
-
On nonlinear Schrödinger equations in exterior domains
-
N. Burq, P. Gérard, and N. Tzvetkov. On nonlinear Schrödinger equations in exterior domains. Ann. Inst. H. Poincaré Anal. Non Linéaire, 21(3):295-318, 2004.
-
(2004)
Ann. Inst. H. Poincaré Anal. Non Linéaire
, vol.21
, Issue.3
, pp. 295-318
-
-
Burq, N.1
Gérard, P.2
Tzvetkov, N.3
-
17
-
-
2942564358
-
Strichartz inequalities and the nonlinear Schrödinger equation on compact manifolds
-
N. Burq, P. Gérard, and N. Tzvetkov. Strichartz inequalities and the nonlinear Schrödinger equation on compact manifolds. Am. J. Math., 126(3):569-605, 2004.
-
(2004)
Am. J. Math
, vol.126
, Issue.3
, pp. 569-605
-
-
Burq, N.1
Gérard, P.2
Tzvetkov, N.3
-
18
-
-
12744280057
-
-
Nicolas Burq, Fabrice Planchon, John G. Stalker, and A. Shadi Tahvildar-Zadeh. Strichartz estimates for the wave and Schrödinger equations with potentials of critical decay. Indiana Univ. Math. J., 53(6):1665-1680, 2004.
-
Nicolas Burq, Fabrice Planchon, John G. Stalker, and A. Shadi Tahvildar-Zadeh. Strichartz estimates for the wave and Schrödinger equations with potentials of critical decay. Indiana Univ. Math. J., 53(6):1665-1680, 2004.
-
-
-
-
19
-
-
85036950525
-
arXiv:math/0609391
-
Rémi Carles. On the Cauchy problem in Sobolev spaces for nonlinear Schrödinger equations with potential. arXiv:math/0609391, 2006.
-
(2006)
-
-
Carles, R.1
-
21
-
-
84967708598
-
A class of nonsymmetric harmonic Riemannian spaces
-
Ewa Damek and Fulvio Ricci. A class of nonsymmetric harmonic Riemannian spaces. Bull. Am. Math. Soc., New Ser., 27(1):139-142, 1992.
-
(1992)
Bull. Am. Math. Soc., New Ser
, vol.27
, Issue.1
, pp. 139-142
-
-
Damek, E.1
Ricci, F.2
-
23
-
-
33947363826
-
A singular critical potential for the Schrödinger operator
-
Thomas Duyckaerts. A singular critical potential for the Schrödinger operator. Canad. Math. Bull., 50(1):35-47, 2007.
-
(2007)
Canad. Math. Bull
, vol.50
, Issue.1
, pp. 35-47
-
-
Duyckaerts, T.1
-
24
-
-
51249179626
-
A construction of the fundamental solution for the Schrödinger equation
-
Daisuke Fujiwara. A construction of the fundamental solution for the Schrödinger equation. J. Anal. Math., 35:41-96, 1979.
-
(1979)
J. Anal. Math
, vol.35
, pp. 41-96
-
-
Fujiwara, D.1
-
25
-
-
0346275418
-
Semilinear hyperbolic equations
-
Tokyo: Mathematical Society of Japan. viii, 208 p
-
Vladimir Georgiev. Semilinear hyperbolic equations. MSJ Memoirs. 7. Tokyo: Mathematical Society of Japan. viii, 208 p., 2000.
-
(2000)
MSJ Memoirs
, vol.7
-
-
Georgiev, V.1
-
27
-
-
85050669204
-
The global Cauchy problem for the nonlinear Schrödinger equation revisited
-
J. Ginibre and G. Velo. The global Cauchy problem for the nonlinear Schrödinger equation revisited. Ann. Inst. H. Poincaré Anal. Non Linéaire, 2(4):309-327, 1985.
-
(1985)
Ann. Inst. H. Poincaré Anal. Non Linéaire
, vol.2
, Issue.4
, pp. 309-327
-
-
Ginibre, J.1
Velo, G.2
-
28
-
-
33746746992
-
Dispersive bounds for the three-dimensional Schrödinger equation with almost critical potentials
-
M. Goldberg. Dispersive bounds for the three-dimensional Schrödinger equation with almost critical potentials. Geom. Flunct. Anal., 16(3):517-536, 2006.
-
(2006)
Geom. Flunct. Anal
, vol.16
, Issue.3
, pp. 517-536
-
-
Goldberg, M.1
-
29
-
-
33645677003
-
Counterexamples of Strichartz inequalities for Schrödinger equations with repulsive potentials
-
DOI: 10.1155/IMRN/2006/13927
-
Goldberg, M. , Vega, L. , Visciglia, N., Counterexamples of Strichartz inequalities for Schrödinger equations with repulsive potentials, International Mathematics Research Notices(2006), VOL:2006, page: 1-16 , DOI: 10.1155/IMRN/2006/13927
-
(2006)
International Mathematics Research Notices
, vol.2006
, pp. 1-16
-
-
Goldberg, M.1
Vega, L.2
Visciglia, N.3
-
30
-
-
17444367698
-
A Strichartz inequality for the Schrödinger equation on nontrapping asymptotically conic manifolds
-
Andrew Hassell, Terence Tao, and Jared Wunsch. A Strichartz inequality for the Schrödinger equation on nontrapping asymptotically conic manifolds. Commun. Partial Differ. Equations, 30(2):157-205, 2005.
-
(2005)
Commun. Partial Differ. Equations
, vol.30
, Issue.2
, pp. 157-205
-
-
Hassell, A.1
Tao, T.2
Wunsch, J.3
-
31
-
-
0000570999
-
Wave operators and similarity for some non-selfadjoint operators
-
Tosio Kato. Wave operators and similarity for some non-selfadjoint operators. Math. Ann., 162:258-279, 1965/1966.
-
(1965)
Math. Ann
, vol.162
, pp. 258-279
-
-
Kato, T.1
-
32
-
-
0001138601
-
Endpoint Strichartz estimates
-
Markus Keel and Terence Tao. Endpoint Strichartz estimates. Amer. J. Math., 120(5):955-980, 1998.
-
(1998)
Amer. J. Math
, vol.120
, Issue.5
, pp. 955-980
-
-
Keel, M.1
Tao, T.2
-
33
-
-
84972495996
-
Convolution operators and L(p, q) spaces
-
R. O Neil. Convolution operators and L(p, q) spaces. Duke Math. J., 30:129-1427 1963.
-
(1963)
Duke Math. J
, vol.30
, pp. 129-1427
-
-
Neil, R.O.1
-
34
-
-
0003312578
-
Riemannian geometry
-
New York, NY: Springer
-
Peter Petersen. Riemannian geometry. Graduate Texts in Mathematics. 171. New York, NY: Springer. xvi, 432 p., 1998.
-
Graduate Texts in Mathematics
, vol.171-16
, Issue.432
, pp. 1998
-
-
Petersen, P.1
-
35
-
-
39349093245
-
Weighted Strichartz estimates for the Schroedinger and wave equations on Damek-Ricci spaces
-
preprint
-
Vittoria Pierfelice. Weighted Strichartz estimates for the Schroedinger and wave equations on Damek-Ricci spaces. preprint, 2005.
-
(2005)
-
-
Pierfelice, V.1
-
37
-
-
85036919600
-
-
Luc Robbiano and Claude Zuily. Remark on the Kato smoothing effect for Schrödinger equation with superquadratic potentials, arXiv:math/ 0610339 (2006).
-
Luc Robbiano and Claude Zuily. Remark on the Kato smoothing effect for Schrödinger equation with superquadratic potentials, arXiv:math/ 0610339 (2006).
-
-
-
-
38
-
-
33845337712
-
Strichartz estimates for Schrödinger equations with variable coefficients
-
Mem. Soc. Math. Fr
-
Luc Robbiano and Claude Zuily. Strichartz estimates for Schrödinger equations with variable coefficients. Mem. Soc. Math. Fr., Nouv. Ser. 101-102, 2005.
-
(2005)
Nouv. Ser
, pp. 101-102
-
-
Robbiano, L.1
Zuily, C.2
-
39
-
-
1542508715
-
Time decay for solutions of Schrödinger equations with rough and time-dependent potentials
-
Igor Rodnianski and Wilhelm Schlag. Time decay for solutions of Schrödinger equations with rough and time-dependent potentials. Invent. Math., 155(3):451-513, 2004.
-
(2004)
Invent. Math
, vol.155
, Issue.3
, pp. 451-513
-
-
Rodnianski, I.1
Schlag, W.2
-
40
-
-
0036383355
-
Strichartz estimates for a Schrödinger operator with nonsmooth coefficients
-
Gigliola Staffilani and Daniel Tataru. Strichartz estimates for a Schrödinger operator with nonsmooth coefficients. Comm. Partial Differential Equations, 27(7-8):1337-1372, 2002.
-
(2002)
Comm. Partial Differential Equations
, vol.27
, Issue.7-8
, pp. 1337-1372
-
-
Staffilani, G.1
Tataru, D.2
-
41
-
-
85036910013
-
-
W.A. Strauss. Nonlinear scattering theory. Scattering Theory math. Phys., Proc. NATO advanced Study Inst., Denver 1973, 53-78 (1974)., 1974.
-
W.A. Strauss. Nonlinear scattering theory. Scattering Theory math. Phys., Proc. NATO advanced Study Inst., Denver 1973, 53-78 (1974)., 1974.
-
-
-
-
42
-
-
84972553620
-
Restrictions of Fourier transforms to quadratic surfaces and decay of solutions of wave equations
-
Robert S. Strichartz. 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.S.1
-
43
-
-
0034355004
-
Spherically averaged endpoint Strichartz estimates for the two-dimensional Schrödinger equation
-
Terence Tao. Spherically averaged endpoint Strichartz estimates for the two-dimensional Schrödinger equation. Commun. Partial Differ. Equations, 25(7-8):1471-1485, 2000.
-
(2000)
Commun. Partial Differ. Equations
, vol.25
, Issue.7-8
, pp. 1471-1485
-
-
Tao, T.1
-
44
-
-
23044521817
-
Strichartz estimates in the hyperbolic space and global existence for the semilinear wave equation
-
Daniel Tataru. Strichartz estimates in the hyperbolic space and global existence for the semilinear wave equation. Trans. Am. Math. Soc., 353(2):795-807, 2001.
-
(2001)
Trans. Am. Math. Soc
, vol.353
, Issue.2
, pp. 795-807
-
-
Tataru, D.1
-
45
-
-
0035379526
-
Regularity of solutions to the free Schrödinger equation with radial initial data
-
M. C. Vilela. Regularity of solutions to the free Schrödinger equation with radial initial data. Ill. J. Math., 45(2):361-370, 2001.
-
(2001)
Ill. J. Math
, vol.45
, Issue.2
, pp. 361-370
-
-
Vilela, M.C.1
-
46
-
-
0000483491
-
Existence of solutions for Schrödinger evolution equations
-
Kenji Yajima. Existence of solutions for Schrödinger evolution equations. Commun. Math. Phys., 110:415-426, 1987.
-
(1987)
Commun. Math. Phys
, vol.110
, pp. 415-426
-
-
Yajima, K.1
-
47
-
-
3543151381
-
Local smoothing property and Strichartz inequality for Schrödinger equations with potentials superquadratic at infinity
-
Kenji Yajima and Guoping Zhang. Local smoothing property and Strichartz inequality for Schrödinger equations with potentials superquadratic at infinity. J. Differ. Equations, 202(1):81-110, 2004.
-
(2004)
J. Differ. Equations
, vol.202
, Issue.1
, pp. 81-110
-
-
Yajima, K.1
Zhang, G.2
|