메뉴 건너뛰기




Volumn 89, Issue 4, 2008, Pages 335-354

Global existence for defocusing cubic NLS and Gross-Pitaevskii equations in three dimensional exterior domains

Author keywords

Defocusing; Gross Pitaevskii; Strichartz estimate

Indexed keywords


EID: 41149174649     PISSN: 00217824     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.matpur.2007.12.006     Document Type: Article
Times cited : (23)

References (29)
  • 3
    • 2442704287 scopus 로고    scopus 로고
    • Existence of vortex-free solutions in the Painlevé boundary layer of a Bose-Einstein condensate
    • Aftalion A., and Blanc X. Existence of vortex-free solutions in the Painlevé boundary layer of a Bose-Einstein condensate. J. Math. Pures Appl. 83 (2004) 765-801
    • (2004) J. Math. Pures Appl. , vol.83 , pp. 765-801
    • Aftalion, A.1    Blanc, X.2
  • 4
    • 41149158976 scopus 로고    scopus 로고
    • R. Anton, Strichartz inequalities for Lipschitz metrics on manifolds and nonlinear Schrödinger equation on domains, arxiv:math.AP/0512639, Bull. Soc. Math. France, submitted for publication
    • R. Anton, Strichartz inequalities for Lipschitz metrics on manifolds and nonlinear Schrödinger equation on domains, arxiv:math.AP/0512639, Bull. Soc. Math. France, submitted for publication
  • 5
    • 2442530451 scopus 로고    scopus 로고
    • Vortex rings for the Gross-Pitaevskii equation
    • Béthuel F., Orlandi G., and Smets D. Vortex rings for the Gross-Pitaevskii equation. J. Eur. Math. Soc. 6 (2004) 17-94
    • (2004) J. Eur. Math. Soc. , vol.6 , pp. 17-94
    • Béthuel, F.1    Orlandi, G.2    Smets, D.3
  • 6
    • 0037836463 scopus 로고    scopus 로고
    • Travelling waves for the Gross-Pitaevskii equation I
    • Béthuel F., and Saut J.C. Travelling waves for the Gross-Pitaevskii equation I. Ann. I.H.P. Phys. Theor. 70 (1999) 147-238
    • (1999) Ann. I.H.P. Phys. Theor. , vol.70 , pp. 147-238
    • Béthuel, F.1    Saut, J.C.2
  • 8
    • 38049181248 scopus 로고    scopus 로고
    • Strichartz estimates for long range perturbations
    • Bouclet J.-M., and Tzvetkov N. Strichartz estimates for long range perturbations. Amer. J. Math. 129 (2007) 1565-1609
    • (2007) Amer. J. Math. , vol.129 , pp. 1565-1609
    • Bouclet, J.-M.1    Tzvetkov, N.2
  • 9
    • 0003230767 scopus 로고    scopus 로고
    • Global Solution of Nonlinear Schrödinger Equations
    • Amer. Math. Soc.
    • Bourgain J. Global Solution of Nonlinear Schrödinger Equations. Colloq. Publications (1999), Amer. Math. Soc.
    • (1999) Colloq. Publications
    • Bourgain, J.1
  • 10
    • 2942564358 scopus 로고    scopus 로고
    • Strichartz inequalities and the nonlinear Schrödinger equation on compact manifolds
    • Burq N., Gérard P., and Tzvetkov N. Strichartz inequalities and the nonlinear Schrödinger equation on compact manifolds. Amer. J. Math. 126 (2004) 569-605
    • (2004) Amer. J. Math. , vol.126 , pp. 569-605
    • Burq, N.1    Gérard, P.2    Tzvetkov, N.3
  • 11
    • 2642542715 scopus 로고    scopus 로고
    • On nonlinear Schrödinger equations in exterior domains
    • Burq N., Gérard P., and Tzvetkov N. On nonlinear Schrödinger equations in exterior domains. Ann. I.H.P. (2004) 295-318
    • (2004) Ann. I.H.P. , pp. 295-318
    • Burq, N.1    Gérard, P.2    Tzvetkov, N.3
  • 12
  • 13
    • 3042636806 scopus 로고    scopus 로고
    • Travelling waves for the Gross-Pitaevskii equation in dimension larger than two
    • Chiron D. Travelling waves for the Gross-Pitaevskii equation in dimension larger than two. Nonlin. Analysis 58 (2004) 175-204
    • (2004) Nonlin. Analysis , vol.58 , pp. 175-204
    • Chiron, D.1
  • 14
    • 41149149533 scopus 로고    scopus 로고
    • C. Gallo, The Cauchy problem for defocusing nonlinear Schrödinger equations with non-vanishing initial data at infinity, preprint
    • C. Gallo, The Cauchy problem for defocusing nonlinear Schrödinger equations with non-vanishing initial data at infinity, preprint
  • 15
    • 85050669204 scopus 로고
    • The global Cauchy problem for the nonlinear Schrödinger equation
    • Ginibre J., and Velo G. The global Cauchy problem for the nonlinear Schrödinger equation. Ann. I.H.P. Anal. Nonlin. 2 (1985) 309-327
    • (1985) Ann. I.H.P. Anal. Nonlin. , vol.2 , pp. 309-327
    • Ginibre, J.1    Velo, G.2
  • 16
    • 33748711020 scopus 로고    scopus 로고
    • The Cauchy problem for the Gross-Pitaevskii equation
    • Gérard P. The Cauchy problem for the Gross-Pitaevskii equation. Ann. I.H.P. Anal. Nonlin. 23 (2006) 765-779
    • (2006) Ann. I.H.P. Anal. Nonlin. , vol.23 , pp. 765-779
    • Gérard, P.1
  • 17
    • 0344983000 scopus 로고    scopus 로고
    • A non-existence result for the travelling waves in the Gross-Pitaevskii equation
    • Gravejat P. A non-existence result for the travelling waves in the Gross-Pitaevskii equation. Comm. Math. Phys. 243 (2003) 93-103
    • (2003) Comm. Math. Phys. , vol.243 , pp. 93-103
    • Gravejat, P.1
  • 18
    • 4344609655 scopus 로고    scopus 로고
    • Decay for travelling waves in the Gross-Pitaevskii equation
    • Gravejat P. Decay for travelling waves in the Gross-Pitaevskii equation. Ann. I.H.P. Anal. Nonlin. 21 (2004) 591-637
    • (2004) Ann. I.H.P. Anal. Nonlin. , vol.21 , pp. 591-637
    • Gravejat, P.1
  • 19
    • 28444495640 scopus 로고    scopus 로고
    • Limit at infinity and non-existence results for sonic travelling waves in the Gross-Pitaevskii equation
    • Gravejat P. Limit at infinity and non-existence results for sonic travelling waves in the Gross-Pitaevskii equation. Diff. Int. Eqns. 17 (2004) 1213-1232
    • (2004) Diff. Int. Eqns. , vol.17 , pp. 1213-1232
    • Gravejat, P.1
  • 20
    • 33748331204 scopus 로고    scopus 로고
    • Sharp Strichartz estimates on nontrapping asymptotically conic manifolds
    • Hassell A., Tao T., and Wunsch J. Sharp Strichartz estimates on nontrapping asymptotically conic manifolds. Amer. J. Math. 128 (2006) 963-1024
    • (2006) Amer. J. Math. , vol.128 , pp. 963-1024
    • Hassell, A.1    Tao, T.2    Wunsch, J.3
  • 21
    • 0001138601 scopus 로고    scopus 로고
    • Endpoint Strichartz estimates
    • Keel M., and Tao T. Endpoint Strichartz estimates. Amer. J. Math. 120 (1998) 955-980
    • (1998) Amer. J. Math. , vol.120 , pp. 955-980
    • Keel, M.1    Tao, T.2
  • 24
    • 33845337712 scopus 로고    scopus 로고
    • Strichartz Estimates for Schrödinger Equations with Variable Coefficients
    • Soc. Math. France
    • Robbiano L., and Zuilly C. Strichartz Estimates for Schrödinger Equations with Variable Coefficients. Mémoires vols. 101-102 (2005), Soc. Math. France
    • (2005) Mémoires , vol.101-102
    • Robbiano, L.1    Zuilly, C.2
  • 25
    • 4344669019 scopus 로고    scopus 로고
    • The Nonlinear Schrödinger Equation
    • Springer-Verlag
    • Sulem C., and Sulem P.L. The Nonlinear Schrödinger Equation. Applied Mathematical Sciences vol. 139 (1999), Springer-Verlag
    • (1999) Applied Mathematical Sciences , vol.139
    • Sulem, C.1    Sulem, P.L.2
  • 26
    • 0036383355 scopus 로고    scopus 로고
    • Strichartz estimates for a Schrödinger operator with nonsmooth coefficients
    • Staffilani G., and Tataru D. Strichartz estimates for a Schrödinger operator with nonsmooth coefficients. Comm. P.D.E. 27 (2002) 1337-1372
    • (2002) Comm. P.D.E. , vol.27 , pp. 1337-1372
    • Staffilani, G.1    Tataru, D.2
  • 27
    • 84972553620 scopus 로고
    • Restriction of Fourier transforms to quadratic surfaces and decay of solutions of wave equation
    • Strichartz R.S. Restriction of Fourier transforms to quadratic surfaces and decay of solutions of wave equation. Duke Math. J. 44 (1977) 705-714
    • (1977) Duke Math. J. , vol.44 , pp. 705-714
    • Strichartz, R.S.1
  • 28
    • 41149175350 scopus 로고    scopus 로고
    • P.E. Zhidkov, The Cauchy Problem for a Nonlinear Schrödinger Equation, Dubna, 1987
    • P.E. Zhidkov, The Cauchy Problem for a Nonlinear Schrödinger Equation, Dubna, 1987
  • 29
    • 0003284037 scopus 로고    scopus 로고
    • Korteweg-de Vries and Nonlinear Schrödinger Equations: Qualitative Theory
    • Springer-Verlag
    • Zhidkov P.E. Korteweg-de Vries and Nonlinear Schrödinger Equations: Qualitative Theory. Lecture Notes in Mathematics vol. 1756 (2001), Springer-Verlag
    • (2001) Lecture Notes in Mathematics , vol.1756
    • Zhidkov, P.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.