메뉴 건너뛰기




Volumn 39, Issue 3, 1999, Pages 379-402

Local Lipschitz continuity of a nonlinear bounded operator induced by a generalized Benjamin-Ono-Burgers equation

Author keywords

Benjamin Ono Burgers equation; Global energy estimate; Local Lipschitz continuity; Nonlinear bounded operator

Indexed keywords


EID: 0010603859     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(98)00184-9     Document Type: Article
Times cited : (10)

References (21)
  • 1
    • 0003796630 scopus 로고
    • Academic Press, New York
    • R. Adams, Sobolev Spaces, Academic Press, New York, 1975.
    • (1975) Sobolev Spaces
    • Adams, R.1
  • 2
  • 3
    • 0009387710 scopus 로고
    • Generalized solutions of the Benjamin-Ono and Smith equations
    • H. Biagioni, R. Iorio, Generalized solutions of the Benjamin-Ono and Smith equations, J. Math. Anal. Appl. 182 (1994) 465-485.
    • (1994) J. Math. Anal. Appl. , vol.182 , pp. 465-485
    • Biagioni, H.1    Iorio, R.2
  • 4
    • 0000886844 scopus 로고
    • Asymptotic behaviour in time of solutions to some equations generalizing the Korteweg-de Vries-Burgers equation
    • P. Biler, Asymptotic behaviour in time of solutions to some equations generalizing the Korteweg-de Vries-Burgers equation, Bull. Polish Acad. Sci. Math. 32 (1984) 275-282.
    • (1984) Bull. Polish Acad. Sci. Math. , vol.32 , pp. 275-282
    • Biler, P.1
  • 5
    • 0000825478 scopus 로고
    • Decay of solutions to nonlinear dispersive wave equations
    • J. Bona, L. Luo, Decay of solutions to nonlinear dispersive wave equations, Differential Integral Equations, 6 (1993) 961-980.
    • (1993) Differential Integral Equations , vol.6 , pp. 961-980
    • Bona, J.1    Luo, L.2
  • 6
    • 0002241817 scopus 로고
    • Benjamin-Ono-related equations and their solutions
    • USA
    • K. Case, Benjamin-Ono-related equations and their solutions, Proc. National Academy Sci. (USA) 76 (1979) 1-3.
    • (1979) Proc. National Academy Sci. , vol.76 , pp. 1-3
    • Case, K.1
  • 7
    • 0010598197 scopus 로고
    • Temporal asymptotic behavior of solutions of the Benjamin-Ono-Burgers equation
    • D.B. Dix, Temporal asymptotic behavior of solutions of the Benjamin-Ono-Burgers equation, J. Differential Equations 90 (1991) 238-287.
    • (1991) J. Differential Equations , vol.90 , pp. 238-287
    • Dix, D.B.1
  • 8
    • 0000575157 scopus 로고
    • The dissipation of nonlinear dispersive waves: The case of asymptotically weak nonlinearity
    • D.B. Dix, The dissipation of nonlinear dispersive waves: The case of asymptotically weak nonlinearity, Commun. Partial Differential Equations 17 (1992) 1665-1693.
    • (1992) Commun. Partial Differential Equations , vol.17 , pp. 1665-1693
    • Dix, D.B.1
  • 9
    • 0008778562 scopus 로고
    • The Benjamin-Ono-Burgers equation: An application in solar physics
    • P. Edwin, B. Roberts, The Benjamin-Ono-Burgers equation: An application in solar physics, Wave Motion 8 (1986) 151-158.
    • (1986) Wave Motion , vol.8 , pp. 151-158
    • Edwin, P.1    Roberts, B.2
  • 10
    • 0000794482 scopus 로고
    • Commutator expansions and smoothing properties of generalized Benjamin-Ono equations
    • J. Ginibre, G. Velo, Commutator expansions and smoothing properties of generalized Benjamin-Ono equations, Ann. Inst. H. Poincare Phys. Theor. 51 (1989) 221-229.
    • (1989) Ann. Inst. H. Poincare Phys. Theor. , vol.51 , pp. 221-229
    • Ginibre, J.1    Velo, G.2
  • 11
    • 0001243978 scopus 로고
    • Smoothing properties and existence of solutions for the generalized Benjamin-Ono equation
    • J. Ginibre, G. Velo, Smoothing properties and existence of solutions for the generalized Benjamin-Ono equation, J. Differential Equations 93 (1991) 150-212.
    • (1991) J. Differential Equations , vol.93 , pp. 150-212
    • Ginibre, J.1    Velo, G.2
  • 13
    • 0000267836 scopus 로고
    • On the cauchy problem for the Benjamin-Ono equation
    • R. Iorio, On the Cauchy problem for the Benjamin-Ono equation, Commun. Partial Differential Equations 11 (1986) 1031-1081.
    • (1986) Commun. Partial Differential Equations , vol.11 , pp. 1031-1081
    • Iorio, R.1
  • 16
    • 85056027602 scopus 로고
    • Smoothing properties of solutions of the Benjamin-Ono equation
    • G. Ponce, Smoothing properties of solutions of the Benjamin-Ono equation, Lecture Notes Pure Appl. Math. 122 (1990) 667-679.
    • (1990) Lecture Notes Pure Appl. Math. , vol.122 , pp. 667-679
    • Ponce, G.1
  • 17
    • 84972496552 scopus 로고
    • On the global well posedness of the Benjamin-Ono equation
    • G. Ponce, On the global well posedness of the Benjamin-Ono equation, Differential Integral equations 4 (1991) 527-542.
    • (1991) Differential Integral Equations , vol.4 , pp. 527-542
    • Ponce, G.1
  • 18
    • 0021859089 scopus 로고
    • 2 decay for weak solutions of the Navier-Stokes equations
    • 2 decay for weak solutions of the Navier-Stokes equations, Arch. Rational Mech. Anal. 88 (1985) 209-222.
    • (1985) Arch. Rational Mech. Anal. , vol.88 , pp. 209-222
    • Schonbek, M.1
  • 19
    • 0039362749 scopus 로고
    • Initial value problem for a nonlinear parabolic equation with singular integral-differential term
    • L. Zhang, Initial value problem for a nonlinear parabolic equation with singular integral-differential term, Acta Mathematicae Applicatae Sinica 8 (1992) 367-376.
    • (1992) Acta Mathematicae Applicatae Sinica , vol.8 , pp. 367-376
    • Zhang, L.1
  • 20
    • 0038914814 scopus 로고
    • Decay estimates for solutions to initial value problem for the generalized nonlinear Korteweg-de Vries-Burgers equation
    • Chinese
    • L. Zhang, Decay estimates for solutions to initial value problem for the generalized nonlinear Korteweg-de Vries-Burgers equation, Chinese Ann. Math. 16A (1995) 22-32 (Chinese).
    • (1995) Chinese Ann. Math. , vol.16 A , pp. 22-32
    • Zhang, L.1
  • 21
    • 0041142068 scopus 로고
    • Initial value problems for a nonlinear singular integral-differential equation of deep water
    • Springer, Berlin
    • Y. Zhou, B. Guo, Initial value problems for a nonlinear singular integral-differential equation of deep water, Lecture Notes in Mathematics, vol. 1306, Springer, Berlin, 1988, pp. 278-290.
    • (1988) Lecture Notes in Mathematics , vol.1306 , pp. 278-290
    • Zhou, Y.1    Guo, B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.