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Volumn 274, Issue 1, 2007, Pages 1-30

Boson stars as solitary waves

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EID: 34249318542     PISSN: 00103616     EISSN: 14320916     Source Type: Journal    
DOI: 10.1007/s00220-007-0272-9     Document Type: Article
Times cited : (178)

References (13)
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    • Cazenave, T.1    Lions, P.-L.2
  • 3
    • 33847732573 scopus 로고    scopus 로고
    • Mean field dynamics of Boson Stars
    • Elgart, A., Schlein, B.: Mean field dynamics of Boson Stars. Comm. Pure Appl. Math. 60(4), 500-545 (2006)
    • (2006) Comm. Pure Appl. Math , vol.60 , Issue.4 , pp. 500-545
    • Elgart, A.1    Schlein, B.2
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    • Fröhlich, J., Lenzmann, E.: Blow-up for nonlinear wave equations describing Boson Stars. http://arxiv.org/list/math-ph/0511003, 2006 to appear in Comm. Pure Appl. Math.
    • Fröhlich, J., Lenzmann, E.: Blow-up for nonlinear wave equations describing Boson Stars. http://arxiv.org/list/math-ph/0511003, 2006 to appear in Comm. Pure Appl. Math.
  • 6
    • 34547363548 scopus 로고    scopus 로고
    • Hislop, P.D.: Exponential decay of two-body eigenfunctions: A review. In: Proceedings of the Symposium on Mathematical Physics and Quantum Field Theory (Berkeley, CA, 1999), 4 of Electron. J. Differ. Equ. Conf., pages 265-288 (electronic), San Marcos, TX, 2000. Southwest Texas State Univ.
    • Hislop, P.D.: Exponential decay of two-body eigenfunctions: A review. In: Proceedings of the Symposium on Mathematical Physics and Quantum Field Theory (Berkeley, CA, 1999), Volume 4 of Electron. J. Differ. Equ. Conf., pages 265-288 (electronic), San Marcos, TX, 2000. Southwest Texas State Univ.
  • 7
    • 34547354059 scopus 로고    scopus 로고
    • Lenzmann, E.: Well-posedness for semi-relativistic Hartree equations of critical type. http://arXiv.org/list/math.AP/0505456, 2005, to appear in Mathematical Physics, Analysis, and Geometry
    • Lenzmann, E.: Well-posedness for semi-relativistic Hartree equations of critical type. http://arXiv.org/list/math.AP/0505456, 2005, to appear in Mathematical Physics, Analysis, and Geometry
  • 8
    • 84916181784 scopus 로고
    • Existence and uniqueness of the minimizing solution of Choquard's nonlinear equation
    • Lieb, E.H.: Existence and uniqueness of the minimizing solution of Choquard's nonlinear equation. Stud. Appl. Math. 57, 93-105 (1977)
    • (1977) Stud. Appl. Math , vol.57 , pp. 93-105
    • Lieb, E.H.1
  • 10
    • 33748291251 scopus 로고
    • Gravitational collapse in quantum mechanics with relativistic kinetic energy
    • Lieb, E.H., Thirring, W.: Gravitational collapse in quantum mechanics with relativistic kinetic energy. Ann. Physics 155(2), 494-512 (1984)
    • (1984) Ann. Physics , vol.155 , Issue.2 , pp. 494-512
    • Lieb, E.H.1    Thirring, W.2
  • 11
    • 0000539356 scopus 로고
    • The Chandrasekhar theory of stellar collapse as the limit of quantum mechanics
    • Lieb, E.H., Yau, H.-T.: The Chandrasekhar theory of stellar collapse as the limit of quantum mechanics. Commun. Math. Phys. 112, 147-174 (1987)
    • (1987) Commun. Math. Phys , vol.112 , pp. 147-174
    • Lieb, E.H.1    Yau, H.-T.2
  • 12
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    • The concentration-compactness principle in the calculus of variations. The locally compact case, Part 1
    • Lions, P.-L.: The concentration-compactness principle in the calculus of variations. The locally compact case, Part 1. Ann. Inst. Henri Poincaré, 1(2), 109-145 (1984)
    • (1984) Ann. Inst. Henri Poincaré , vol.1 , Issue.2 , pp. 109-145
    • Lions, P.-L.1
  • 13
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    • Princeton, NJ: Princeton University Press
    • Stein, E.M.: Harmonic Analysis. Princeton, NJ: Princeton University Press, 1993
    • (1993) Harmonic Analysis
    • Stein, E.M.1


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