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Volumn 192, Issue 2, 2003, Pages 429-444

A note on well-posedness for Camassa-Holm equation

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EID: 0043159153     PISSN: 00220396     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-0396(03)00096-2     Document Type: Article
Times cited : (281)

References (15)
  • 1
    • 0001191104 scopus 로고
    • Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires
    • J.-M. Bony, Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires, Ann. Sci École Norm. Sup. 14 (1981) 209-246.
    • (1981) Ann. Sci École Norm. Sup. , vol.14 , pp. 209-246
    • Bony, J.-M.1
  • 2
    • 12044254491 scopus 로고
    • An integrable shallow water equation with peaked solitons
    • R. Camassa, D. Holm, An integrable shallow water equation with peaked solitons, Phys. Rev. Lett. 71 (1993) 1661-1664.
    • (1993) Phys. Rev. Lett. , vol.71 , pp. 1661-1664
    • Camassa, R.1    Holm, D.2
  • 3
    • 0038205255 scopus 로고    scopus 로고
    • Perfect Incompressible Fluids
    • The Clarendon Press, Oxford University Press, New York
    • J.-Y. Chemin, Perfect Incompressible Fluids, in: Oxford Lecture Series in Mathematics and its Applications, Vol. 14, The Clarendon Press, Oxford University Press, New York, 1998.
    • (1998) Oxford Lecture Series in Mathematics and Its Applications , vol.14
    • Chemin, J.-Y.1
  • 5
    • 0031679566 scopus 로고    scopus 로고
    • Model equations for nonlinear dispersive waves in a compressible Mooney-Rivlin rod
    • H.-H. Dai, Model equations for nonlinear dispersive waves in a compressible Mooney-Rivlin rod, Acta Mech. 127 (1998) 193-207.
    • (1998) Acta Mech. , vol.127 , pp. 193-207
    • Dai, H.-H.1
  • 6
    • 0000830886 scopus 로고    scopus 로고
    • A few remarks on the Camassa-Holm equation
    • R. Danchin, A few remarks on the Camassa-Holm equation, Differential Integral Equations 14 (2001) 953-988.
    • (2001) Differential Integral Equations , vol.14 , pp. 953-988
    • Danchin, R.1
  • 7
    • 49049150360 scopus 로고
    • Symplectic structures, their Bäcklund transformation and hereditary symmetries
    • A. Fokas, B. Fuchssteiner, Symplectic structures, their Bäcklund transformation and hereditary symmetries, Physica D Nonlinear Phenomena 4 (1981) 47-66.
    • (1981) Physica D Nonlinear Phenomena , vol.4 , pp. 47-66
    • Fokas, A.1    Fuchssteiner, B.2
  • 8
    • 22244482803 scopus 로고    scopus 로고
    • Some tricks from the symmetry-toolbox for nonlinear equations: Generalizations of the Camassa-Holm equation
    • B. Fuchssteiner, Some tricks from the symmetry-toolbox for nonlinear equations: generalizations of the Camassa-Holm equation, Physica D Nonlinear Phenomena 95 (1996) 296-343.
    • (1996) Physica D Nonlinear Phenomena , vol.95 , pp. 296-343
    • Fuchssteiner, B.1
  • 9
    • 0002405102 scopus 로고    scopus 로고
    • The Cauchy problem for an integrable shallow-water equation
    • A. Himonas, G. Misiołek, The Cauchy problem for an integrable shallow-water equation, Differential Integral Equations 14 (2001) 821-831.
    • (2001) Differential Integral Equations , vol.14 , pp. 821-831
    • Himonas, A.1    Misiołek, G.2
  • 10
    • 0003123140 scopus 로고
    • Quasi-linear Equations of Evolution, with Applications to Partial Differential Equations
    • Springer, Berlin
    • T. Kato, Quasi-linear Equations of Evolution, with Applications to Partial Differential Equations, Lecture Notes in Mathematics, Vol. 448, Springer, Berlin, 1975, pp. 25-70.
    • (1975) Lecture Notes in Mathematics , vol.448 , pp. 25-70
    • Kato, T.1
  • 11
    • 0034688728 scopus 로고    scopus 로고
    • Well-posedness and blow-up solutions for an integrable nonlinearly dispersive model wave equation
    • Y. Li, P. Olver, Well-posedness and blow-up solutions for an integrable nonlinearly dispersive model wave equation, J. Differential Equations 162 (2000) 27-63.
    • (2000) J. Differential Equations , vol.162 , pp. 27-63
    • Li, Y.1    Olver, P.2
  • 14
    • 0032263330 scopus 로고    scopus 로고
    • Hydrodynamics in Besov spaces
    • M. Vishik, Hydrodynamics in Besov spaces, Arch. Rational Mech. Anal. 145 (1998) 197-214.
    • (1998) Arch. Rational Mech. Anal. , vol.145 , pp. 197-214
    • Vishik, M.1
  • 15
    • 0034394008 scopus 로고    scopus 로고
    • On the weak solutions to a shallow water equations
    • Z. Xin, P. Zhang, On the weak solutions to a shallow water equations, Commun. Pure Appl. Math. 53 (2000) 1411-1433.
    • (2000) Commun. Pure Appl. Math. , vol.53 , pp. 1411-1433
    • Xin, Z.1    Zhang, P.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.