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Volumn 15, Issue 1, 1999, Pages 115-129

On the Existence and Uniqueness of Solutions to an Asymptotic Equation of a Variational Wave Equation

Author keywords

Asymptotic equation; Global existence; Liquid crystal; Mollifier; Uniqueness; Variational wave equation; Weak solutions

Indexed keywords


EID: 0000512953     PISSN: 14398516     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10114-999-0063-7     Document Type: Article
Times cited : (48)

References (13)
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  • 2
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    • J K Hunter, Yuxi Zheng. On a Nonlinear hyperbolic variational equation I and II. Arch Rat Mech Anal, 1995, 129: 305-353, 355-383
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    • Hunter, J.K.1    Zheng, Y.2
  • 3
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    • H Zorski, E Infeld. New soliton equations for dipole chains. Phys Rev Lett, 1992, 68: 1180-1183
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    • Zorski, H.1    Infeld, E.2
  • 5
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    • The geometry of peaked solitons and billiard solutions of a class of integrable PDE's
    • A Albers, R Camassa, D Holm, J Marsden. The geometry of peaked solitons and billiard solutions of a class of integrable PDE's. Lett Math Phys, 1994, 32: 137-151
    • (1994) Lett Math Phys , vol.32 , pp. 137-151
    • Albers, A.1    Camassa, R.2    Holm, D.3    Marsden, J.4
  • 6
    • 12044254491 scopus 로고
    • An integrable shallow water equation with peaked solitons
    • R Camassa, D Holm. An integrable shallow water equation with peaked solitons. Phy Rev Lett, 1993, 71: 1661-1664
    • (1993) Phy Rev Lett , vol.71 , pp. 1661-1664
    • Camassa, R.1    Holm, D.2
  • 7
    • 0001694074 scopus 로고
    • A family of nonlinear Klein-Gordon equations and their solutions
    • A Grundland, E Infeld. A family of nonlinear Klein-Gordon equations and their solutions. J Math Phys, 1992, 33: 2498-2503
    • (1992) J Math Phys , vol.33 , pp. 2498-2503
    • Grundland, A.1    Infeld, E.2
  • 8
    • 0003366227 scopus 로고    scopus 로고
    • Singularities and oscillations in a nonlinear variational wave equation
    • ed by J Rauch, M Taylor, IMA,Springer
    • R T Glassey, J K Hunter, Yuxi Zheng. Singularities and oscillations in a nonlinear variational wave equation. in Singularities and Oscillations, ed by J Rauch, M Taylor, IMA,Springer 1997, 91: 37-60,
    • (1997) Singularities and Oscillations , vol.91 , pp. 37-60
    • Glassey, R.T.1    Hunter, J.K.2    Zheng, Y.3
  • 9
    • 0002306354 scopus 로고
    • Ordinary Differential Equations, Transport Theory and Sobolev Spaces
    • R DiPerna, P L Lions. Ordinary Differential Equations, Transport Theory and Sobolev Spaces. Invent Math, 1989, 98: 511-547
    • (1989) Invent Math , vol.98 , pp. 511-547
    • DiPerna, R.1    Lions, P.L.2
  • 10
    • 0001089576 scopus 로고
    • On the Cauchy Problem for Boltzman Equations; Global Existence and Weak Stability
    • R DiPerna, P L Lions. On the Cauchy Problem for Boltzman Equations; Global Existence and Weak Stability. Annals of Math, 1989, 130: 321-366
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    • DiPerna, R.1    Lions, P.L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.