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Volumn 122, Issue 3, 2000, Pages 451-463

Ill-posedness for one-dimensional wave maps at the critical regularity

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EID: 0034195626     PISSN: 00029327     EISSN: None     Source Type: Journal    
DOI: 10.1353/ajm.2000.0023     Document Type: Article
Times cited : (23)

References (13)
  • 1
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    • A priori estimates and regularity of nonlinear waves
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    • Grillakis, M.1
  • 2
    • 84980156928 scopus 로고
    • On the Cauchy problem for harmonic maps defined on two-dimensional Minkowski space
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    • (1980) Comm. Pure Appl. Math. , vol.33 , pp. 727-737
    • Gu, C.1
  • 5
    • 84973999554 scopus 로고
    • Smoothing estimates for null forms and applications
    • S. Klainerman and M. Machedon, Smoothing estimates for null forms and applications, Duke Math. J. 81 (1995), 99-133.
    • (1995) Duke Math. J. , vol.81 , pp. 99-133
    • Klainerman, S.1    Machedon, M.2
  • 6
    • 0001185364 scopus 로고    scopus 로고
    • Remark on the optimal regularity for equations of wave maps type
    • S. Klainerman and S. Selberg, Remark on the optimal regularity for equations of wave maps type, Comm. Partial Differential Equations 22 (1997), 901-918.
    • (1997) Comm. Partial Differential Equations , vol.22 , pp. 901-918
    • Klainerman, S.1    Selberg, S.2
  • 7
    • 0001758045 scopus 로고
    • Unique solvability of the Cauchy problem for the equations of the two dimensional chiral fields, taking values in complete Riemann manifolds
    • English transl.
    • O. A. Ladyzhenskaya and V. I. Shubov, Unique solvability of the Cauchy problem for the equations of the two dimensional chiral fields, taking values in complete Riemann manifolds, English transl., J. Soviet Math. 25 (1984), 855-864.
    • (1984) J. Soviet Math. , vol.25 , pp. 855-864
    • Ladyzhenskaya, O.A.1    Shubov, V.I.2
  • 8
    • 34250385489 scopus 로고
    • Integrable Hamiltonian systems and interaction through quadratic constraints
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    • (1976) Comm. Math. Phys. , vol.46 , pp. 207-221
    • Pohlmeyer, K.1
  • 9
    • 84990623256 scopus 로고
    • Weak solutions and development of singularities of the SU(2) σ-model
    • J. Shatah, Weak solutions and development of singularities of the SU(2) σ-model, Comm. Pure Appl. Math. 41 (1988), 459-469.
    • (1988) Comm. Pure Appl. Math. , vol.41 , pp. 459-469
    • Shatah, J.1
  • 10
    • 0000873217 scopus 로고
    • The Cauchy problem for harmonic maps on Minkowski space
    • Birkhäuser, Basel
    • _, The Cauchy problem for harmonic maps on Minkowski space, Proc. Internat. Congr. Math., vol. 1, 2, Birkhäuser, Basel, 1994, pp. 1126-1132.
    • (1994) Proc. Internat. Congr. Math. , vol.1-2 , pp. 1126-1132
  • 11
    • 84990635786 scopus 로고
    • On the Cauchy problem for equivariant wave maps
    • J. Shatah and A. Tavildar-Zadeh, On the Cauchy problem for equivariant wave maps, Comm. Pure Appl. Math. 47 (1994), 719-753.
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.