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Volumn 169, Issue 2, 1999, Pages 532-558

White Noise Driven Korteweg-de Vries Equation

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EID: 0000195867     PISSN: 00221236     EISSN: None     Source Type: Journal    
DOI: 10.1006/jfan.1999.3484     Document Type: Article
Times cited : (109)

References (24)
  • 1
    • 84972568795 scopus 로고
    • Solutions of the Korteweg-de Vries equation in fractional order Sobolev spaces
    • J. Bona and R. Scott, Solutions of the Korteweg-de Vries equation in fractional order Sobolev spaces, Duke Math. J. 43 (1976), 87-99.
    • (1976) Duke Math. J. , vol.43 , pp. 87-99
    • Bona, J.1    Scott, R.2
  • 2
    • 0001119719 scopus 로고
    • The initial value problem for the Korteweg-de Vries equations
    • J. Bona and R. Smith, The initial value problem for the Korteweg-de Vries equations, Philos. Trans. Roy. Soc. London Ser. A 278 (1975), 555-601.
    • (1975) Philos. Trans. Roy. Soc. London Ser. A , vol.278 , pp. 555-601
    • Bona, J.1    Smith, R.2
  • 3
    • 21344442079 scopus 로고    scopus 로고
    • The initial value problem for the forced KdV equation
    • J. Bona and B. Y. Zhang, The initial value problem for the forced KdV equation, Proc. Roy. Soc. Edinburgh Sect. A 126 (1996), 571-598.
    • (1996) Proc. Roy. Soc. Edinburgh Sect. A , vol.126 , pp. 571-598
    • Bona, J.1    Zhang, B.Y.2
  • 4
    • 0000719751 scopus 로고    scopus 로고
    • On the stochastic Korteweg-de Vries equation
    • A. de Bouard and A. Debussche, On the stochastic Korteweg-de Vries equation, J. Funct. Anal. 154 (1998), 215-251.
    • (1998) J. Funct. Anal. , vol.154 , pp. 215-251
    • De Bouard, A.1    Debussche, A.2
  • 5
    • 0009303159 scopus 로고
    • Fourier restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations, part II
    • J. Bourgain, Fourier restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations, part II, Geom. Funct. Anal. 3 (1993), 209-262.
    • (1993) Geom. Funct. Anal. , vol.3 , pp. 209-262
    • Bourgain, J.1
  • 9
    • 33747492074 scopus 로고    scopus 로고
    • Le problème de Cauchy pour des EDP semi-linéaires périodiques en variables d'espace (d'après Bouguain)
    • J. Ginibre, Le problème de Cauchy pour des EDP semi-linéaires périodiques en variables d'espace (d'après Bouguain), Astérisque 237 (1996), 163-187.
    • (1996) Astérisque , vol.237 , pp. 163-187
    • Ginibre, J.1
  • 10
    • 0001426659 scopus 로고
    • Uniqueness of solutions for the generalized Korteweg-de Vries equation
    • J. Ginibre and Y. Tsutsumi, Uniqueness of solutions for the generalized Korteweg-de Vries equation, SIAM J. Math. Anal. 20 (1989), 1388-1425.
    • (1989) SIAM J. Math. Anal. , vol.20 , pp. 1388-1425
    • Ginibre, J.1    Tsutsumi, Y.2
  • 11
    • 0012920642 scopus 로고
    • Interaction of a solitary wave with an external force
    • R. Grimshaw, E. Pelinovsky, and X. Tian, Interaction of a solitary wave with an external force, Phys. D 77 (1994), 405-433.
    • (1994) Phys. D , vol.77 , pp. 405-433
    • Grimshaw, R.1    Pelinovsky, E.2    Tian, X.3
  • 12
    • 0002377921 scopus 로고
    • The stochastic, damped Korteweg-de Vries equation
    • R. Herman, The stochastic, damped Korteweg-de Vries equation, J. Phys. A 23 (1990), 1063-1084.
    • (1990) J. Phys. A , vol.23 , pp. 1063-1084
    • Herman, R.1
  • 13
    • 0002362136 scopus 로고
    • On the Cauchy problem for the (generalized) Korteweg-de Vries equation
    • T. Kato, On the Cauchy problem for the (generalized) Korteweg-de Vries equation, Stud. Appl. Math. 8 (1993), 93-128.
    • (1993) Stud. Appl. Math. , vol.8 , pp. 93-128
    • Kato, T.1
  • 15
    • 0001969794 scopus 로고
    • Oscillatory integrals and regularity of dispersive equations
    • C. E. Kenig, G. Ponce, and L. Vega, Oscillatory integrals and regularity of dispersive equations, Indiana Univ. Math. J. 40 (1991), 33-69.
    • (1991) Indiana Univ. Math. J. , vol.40 , pp. 33-69
    • Kenig, C.E.1    Ponce, G.2    Vega, L.3
  • 16
    • 84968502715 scopus 로고
    • Well-posedness of the initial value problem for the Korteweg-de Vries equation
    • C. E. Kenig, G. Ponce, and L. Vega, Well-posedness of the initial value problem for the Korteweg-de Vries equation, J. Amer. Math. Soc. 4 (1991), 323-347.
    • (1991) J. Amer. Math. Soc. , vol.4 , pp. 323-347
    • Kenig, C.E.1    Ponce, G.2    Vega, L.3
  • 17
    • 84974004169 scopus 로고
    • The Cauchy problem for the Korteweg-de Vries equation in Sobolev spaces of negative indices
    • C. E. Kenig, G. Ponce, and L. Vega, The Cauchy problem for the Korteweg-de Vries equation in Sobolev spaces of negative indices, Duke Math. J. 71 (1993), 1-21.
    • (1993) Duke Math. J. , vol.71 , pp. 1-21
    • Kenig, C.E.1    Ponce, G.2    Vega, L.3
  • 18
    • 0030528276 scopus 로고    scopus 로고
    • A bilinear estimate with application to the KdV equation
    • C. E. Kenig, G. Ponce, and L. Vega, A bilinear estimate with application to the KdV equation, J. Amer. Math. Soc. 9 (1996), 573-604.
    • (1996) J. Amer. Math. Soc. , vol.9 , pp. 573-604
    • Kenig, C.E.1    Ponce, G.2    Vega, L.3
  • 21
    • 51649183085 scopus 로고
    • Remarks on the Korteweg-de Vries equation
    • J. C. Saut and R. Temam, Remarks on the Korteweg-de Vries equation, Israel J. Math. 24 (1976), 78-87.
    • (1976) Israel J. Math. , vol.24 , pp. 78-87
    • Saut, J.C.1    Temam, R.2
  • 22
    • 0000649103 scopus 로고    scopus 로고
    • Korteweg-de Vries solitons under additive stochastic perturbations
    • M. Scalerandi, A. Romano, and C. A. Condat, Korteweg-de Vries solitons under additive stochastic perturbations, Phys. Rev. E 58 (1998), 4166-4173.
    • (1998) Phys. Rev. E , vol.58 , pp. 4166-4173
    • Scalerandi, M.1    Romano, A.2    Condat, C.A.3
  • 23
    • 0001526429 scopus 로고
    • Stochastic Korteweg-de Vries equation
    • M. Wadati, Stochastic Korteweg-de Vries equation, J. Phys. Soc. Japan 52 (1983), 2642-2648.
    • (1983) J. Phys. Soc. Japan , vol.52 , pp. 2642-2648
    • Wadati, M.1
  • 24
    • 33845186384 scopus 로고
    • Stochastic Korteweg-de Vries equation with and without damping
    • M. Wadati and Y. Akutsu, Stochastic Korteweg-de Vries equation with and without damping, J. Phys. Soc. Japan 53 (1984), 3342.
    • (1984) J. Phys. Soc. Japan , vol.53 , pp. 3342
    • Wadati, M.1    Akutsu, Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.