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Volumn 23, Issue 5, 2006, Pages 765-779

The Cauchy problem for the Gross-Pitaevskii equation

Author keywords

Dispersive equations; Nonlinear Schr dinger equation

Indexed keywords

PARTIAL DIFFERENTIAL EQUATIONS; PROBLEM SOLVING;

EID: 33748711020     PISSN: 02941449     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.anihpc.2005.09.004     Document Type: Article
Times cited : (105)

References (21)
  • 1
    • 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
  • 3
    • 49149142420 scopus 로고
    • Nonlinear Schrödinger evolution equations
    • Brezis H., and Gallouët T. Nonlinear Schrödinger evolution equations. Nonlinear Anal. 4 (1980) 677-681
    • (1980) Nonlinear Anal. , vol.4 , pp. 677-681
    • Brezis, H.1    Gallouët, T.2
  • 4
    • 5444256656 scopus 로고    scopus 로고
    • Semilinear Schrödinger Equations
    • New York University, American Mathematical Society, Providence, RI
    • Cazenave T. Semilinear Schrödinger Equations. Courant Lecture Notes in Math. vol. 10 (2003), New York University, American Mathematical Society, Providence, RI
    • (2003) Courant Lecture Notes in Math. , vol.10
    • Cazenave, T.1
  • 5
    • 0000857637 scopus 로고
    • Transition to dissipation in a model of superflow
    • Frisch T., Pomeau Y., and Rica S. Transition to dissipation in a model of superflow. Phys. Rev. Lett. 69 (1992) 1644-1647
    • (1992) Phys. Rev. Lett. , vol.69 , pp. 1644-1647
    • Frisch, T.1    Pomeau, Y.2    Rica, S.3
  • 6
    • 31644441482 scopus 로고    scopus 로고
    • Schrödinger group on Zhidkov spaces
    • Gallo C. Schrödinger group on Zhidkov spaces. Adv. Differential Equations 9 (2004) 509-538
    • (2004) Adv. Differential Equations , vol.9 , pp. 509-538
    • Gallo, C.1
  • 7
    • 49249148441 scopus 로고
    • On a class of nonlinear Schrödinger equations
    • Ginibre J., and Velo G. On a class of nonlinear Schrödinger equations. J. Funct. Anal. 32 (1979) 1-71
    • (1979) J. Funct. Anal. , vol.32 , pp. 1-71
    • Ginibre, J.1    Velo, G.2
  • 8
    • 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. Inst. H. Poincaré Anal. Non Linéaire 2 (1985) 309-327
    • (1985) Ann. Inst. H. Poincaré Anal. Non Linéaire , vol.2 , pp. 309-327
    • Ginibre, J.1    Velo, G.2
  • 9
    • 84995338310 scopus 로고    scopus 로고
    • O. Goubet, Two remarks on solutions of Gross-Pitaevskii equations on Zhidkov spaces, Preprint, 2005
  • 10
    • 0344983000 scopus 로고    scopus 로고
    • A non-existence result for supersonic travelling waves in the Gross-Pitaevskii equation
    • Gravejat P. A non-existence result for supersonic 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
  • 11
    • 4344609655 scopus 로고    scopus 로고
    • Decay of travelling waves in the Gross-Pitaevskii equation
    • Gravejat P. Decay of travelling waves in the Gross-Pitaevskii equation. Ann. Inst. H. Poincaré Anal. Non Linéaire 21 (2004) 591-637
    • (2004) Ann. Inst. H. Poincaré Anal. Non Linéaire , vol.21 , pp. 591-637
    • Gravejat, P.1
  • 12
    • 28444495640 scopus 로고    scopus 로고
    • Limit at infinity and non-existence result for sonic travelling waves in the Gross-Pitaevskii equation
    • Gravejat P. Limit at infinity and non-existence result for sonic travelling waves in the Gross-Pitaevskii equation. Differential Integral Equations 17 (2004) 1213-1232
    • (2004) Differential Integral Equations , vol.17 , pp. 1213-1232
    • Gravejat, P.1
  • 16
    • 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
  • 17
    • 0031239138 scopus 로고    scopus 로고
    • Decaying Kolmogorov turbulence in a model of superflow
    • Nore C., Abid M., and Brachet M. Decaying Kolmogorov turbulence in a model of superflow. Phys. Fluids 9 (1997) 2644-2669
    • (1997) Phys. Fluids , vol.9 , pp. 2644-2669
    • Nore, C.1    Abid, M.2    Brachet, M.3
  • 19
    • 0003230098 scopus 로고    scopus 로고
    • The Nonlinear Schrödinger Equation. Self-Focusing and Wave Collapse
    • Springer-Verlag
    • Sulem C., and Sulem P.L. The Nonlinear Schrödinger Equation. Self-Focusing and Wave Collapse. Appl. Math. Sci. vol. 139 (1999), Springer-Verlag
    • (1999) Appl. Math. Sci. , vol.139
    • Sulem, C.1    Sulem, P.L.2
  • 20
    • 84995321368 scopus 로고    scopus 로고
    • P.E. Zhidkov, The Cauchy problem for a nonlinear Schrödinger equation, Dubna, 1987
  • 21
    • 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 Math. vol. 1756 (2001), Springer-Verlag
    • (2001) Lecture Notes in Math. , vol.1756
    • Zhidkov, P.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.