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Volumn 221, Issue 5, 2009, Pages 1445-1521

Renormalization and blow up for the critical Yang-Mills problem

Author keywords

Blow up; Critical phenomena; Nonlinear wave equations

Indexed keywords


EID: 67349201747     PISSN: 00018708     EISSN: 10902082     Source Type: Journal    
DOI: 10.1016/j.aim.2009.02.017     Document Type: Article
Times cited : (62)

References (16)
  • 1
    • 0035893497 scopus 로고    scopus 로고
    • On blowup of Yang-Mills fields
    • Bizoń P., and Tabor Z. On blowup of Yang-Mills fields. Phys. Rev. D (3) 64 12 (2001) 4
    • (2001) Phys. Rev. D (3) , vol.64 , Issue.12 , pp. 4
    • Bizoń, P.1    Tabor, Z.2
  • 3
    • 0001425259 scopus 로고    scopus 로고
    • Harmonic maps of the hyperbolic space and development of singularities in wave maps and Yang-Mills fields
    • Cazenave T., Shatah J., and Tahvildar-Zadeh A.S. Harmonic maps of the hyperbolic space and development of singularities in wave maps and Yang-Mills fields. Ann. Inst. H. Poincaré Phys. Théor. 68 3 (1998) 315-349
    • (1998) Ann. Inst. H. Poincaré Phys. Théor. , vol.68 , Issue.3 , pp. 315-349
    • Cazenave, T.1    Shatah, J.2    Tahvildar-Zadeh, A.S.3
  • 4
    • 67349261843 scopus 로고    scopus 로고
    • Scattering below critical energy for the radial 4D Yang-Mills equation and for the 2D corotational wave map system
    • preprint
    • R. Cote, C. Kenig, F. Merle, Scattering below critical energy for the radial 4D Yang-Mills equation and for the 2D corotational wave map system, preprint
    • Cote, R.1    Kenig, C.2    Merle, F.3
  • 5
    • 33746001610 scopus 로고    scopus 로고
    • On spectral theory for Schrödinger operators with strongly singular potentials
    • Gesztesy F., and Zinchenko M. On spectral theory for Schrödinger operators with strongly singular potentials. Math. Nachr. 279 (2006) 1041-1082
    • (2006) Math. Nachr. , vol.279 , pp. 1041-1082
    • Gesztesy, F.1    Zinchenko, M.2
  • 6
    • 3543079815 scopus 로고
    • The global existence of Yang-Mills-Higgs fields in 4-dimensional Minkowski space. I. Local existence and smoothness properties
    • Eardley D.M., and Moncrief V. The global existence of Yang-Mills-Higgs fields in 4-dimensional Minkowski space. I. Local existence and smoothness properties. Comm. Math. Phys. 83 2 (1982) 171-191
    • (1982) Comm. Math. Phys. , vol.83 , Issue.2 , pp. 171-191
    • Eardley, D.M.1    Moncrief, V.2
  • 7
    • 33744688485 scopus 로고
    • The global existence of Yang-Mills-Higgs fields in 4-dimensional Minkowski space. II. Completion of proof
    • Eardley D.M., and Moncrief V. The global existence of Yang-Mills-Higgs fields in 4-dimensional Minkowski space. II. Completion of proof. Comm. Math. Phys. 83 2 (1982) 193-212
    • (1982) Comm. Math. Phys. , vol.83 , Issue.2 , pp. 193-212
    • Eardley, D.M.1    Moncrief, V.2
  • 11
    • 38349190717 scopus 로고    scopus 로고
    • Renormalization and blow up for charge one equivariant critical wave maps
    • Krieger J., Schlag W., and Tataru D. Renormalization and blow up for charge one equivariant critical wave maps. Invent. Math. 171 3 (2008) 543-615
    • (2008) Invent. Math. , vol.171 , Issue.3 , pp. 543-615
    • Krieger, J.1    Schlag, W.2    Tataru, D.3
  • 12
    • 67349141836 scopus 로고    scopus 로고
    • 3) critical focusing semi-linear wave equation
    • 3) critical focusing semi-linear wave equation. Duke Math. J. 147 1 (2009) 1-53
    • (2009) Duke Math. J. , vol.147 , Issue.1 , pp. 1-53
    • Krieger, J.1    Schlag, W.2    Tataru, D.3
  • 13
    • 33746656078 scopus 로고    scopus 로고
    • On the formation of singularities in the critical O (3) σ-model
    • preprint
    • I. Rodnianski, J. Sterbenz, On the formation of singularities in the critical O (3) σ-model, preprint
    • Rodnianski, I.1    Sterbenz, J.2
  • 14
    • 0000656371 scopus 로고    scopus 로고
    • Global existence of the equivariant Yang-Mills heat flow in four space dimensions
    • Schlatter A., Struwe M., and Tahvildar-Zadeh A. Global existence of the equivariant Yang-Mills heat flow in four space dimensions. Amer. J. Math. 120 1 (1998) 117-128
    • (1998) Amer. J. Math. , vol.120 , Issue.1 , pp. 117-128
    • Schlatter, A.1    Struwe, M.2    Tahvildar-Zadeh, A.3
  • 15
    • 84990635786 scopus 로고
    • On the Cauchy problem for equivariant wave maps
    • Shatah J., and Tahvildar-Zadeh A.S. On the Cauchy problem for equivariant wave maps. Comm. Pure Appl. Math. 47 5 (1994) 719-754
    • (1994) Comm. Pure Appl. Math. , vol.47 , Issue.5 , pp. 719-754
    • Shatah, J.1    Tahvildar-Zadeh, A.S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.