메뉴 건너뛰기




Volumn 95, Issue 3-4, 1996, Pages 191-228

The Cauchy problem in local spaces for the complex Ginzburg-Landau equation I. Compactness methods

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0001203317     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/0167-2789(96)00055-3     Document Type: Article
Times cited : (117)

References (24)
  • 2
    • 0003197180 scopus 로고
    • An introduction to nonlinear Schrödinger equations
    • Inst. Mat., Rio de Janeiro
    • T. Cazenave, An introduction to nonlinear Schrödinger equations, Text. Metod. Mat. 22 (Inst. Mat., Rio de Janeiro 1989).
    • (1989) Text. Metod. Mat. , vol.22
    • Cazenave, T.1
  • 3
    • 0002723604 scopus 로고
    • Thermodynamic limit of the Ginzburg-Landau equation
    • P. Collet, Thermodynamic limit of the Ginzburg-Landau equation, Nonlinearity 7 (1994) 1175-1190.
    • (1994) Nonlinearity , vol.7 , pp. 1175-1190
    • Collet, P.1
  • 4
    • 12044252828 scopus 로고
    • Pattern formation outside of equilibrium
    • M.C. Cross and P.C. Hohenberg, Pattern formation outside of equilibrium, Rev. Modern Phys. 65 (1993) 851-1089.
    • (1993) Rev. Modern Phys. , vol.65 , pp. 851-1089
    • Cross, M.C.1    Hohenberg, P.C.2
  • 5
    • 0000967970 scopus 로고
    • Weak and strong solutions of the complex Ginzburg-Landau equation
    • C.R. Doering, J.D. Gibbon and C.D. Levermore, Weak and strong solutions of the complex Ginzburg-Landau equation, Physica D 71 (1994) 285-318.
    • (1994) Physica D , vol.71 , pp. 285-318
    • Doering, C.R.1    Gibbon, J.D.2    Levermore, C.D.3
  • 6
    • 0000322045 scopus 로고
    • Dimension of the attractors associated to the Ginzburg-Landau partial differential equation
    • J.M. Ghidaglia and B. Héron, Dimension of the attractors associated to the Ginzburg-Landau partial differential equation, Physica D 28 (1987) 282-304.
    • (1987) Physica D , vol.28 , pp. 282-304
    • Ghidaglia, J.M.1    Héron, B.2
  • 7
    • 46149140458 scopus 로고
    • p and regularity of weak solutions of the Navier-Stokes system
    • p and regularity of weak solutions of the Navier-Stokes system, J. Differential Equations 61 (1986) 186-212.
    • (1986) J. Differential Equations , vol.61 , pp. 186-212
    • Giga, Y.1
  • 8
    • 85050669204 scopus 로고
    • The global Cauchy problem for the nonlinear Schrödinger equation revisited
    • J. Ginibre and G. Velo, The global Cauchy problem for the nonlinear Schrödinger equation revisited, Ann. Inst. H. Poincaré Anal. Non linéaire 2 (1985) 309-327.
    • (1985) Ann. Inst. H. Poincaré Anal. Non Linéaire , vol.2 , pp. 309-327
    • Ginibre, J.1    Velo, G.2
  • 9
    • 22244437887 scopus 로고    scopus 로고
    • The Cauchy problem in local spaces for the complex Ginzburg-Landau equation. Part II
    • preprint
    • J. Ginibre and G. Velo, The Cauchy problem in local spaces for the complex Ginzburg-Landau equation. Part II. Contraction methods, preprint (1996).
    • (1996) Contraction Methods
    • Ginibre, J.1    Velo, G.2
  • 10
    • 0000818765 scopus 로고
    • Nonlinear Schrödinger equations
    • Schrödinger Operators, eds. H. Holden and A. Jensen, Springer, Berlin
    • T. Kato, Nonlinear Schrödinger equations, in: Schrödinger Operators, eds. H. Holden and A. Jensen, Lecture Notes in Physics 345 (Springer, Berlin, 1989) pp. 218-263.
    • (1989) Lecture Notes in Physics , vol.345 , pp. 218-263
    • Kato, T.1
  • 11
    • 0000946209 scopus 로고
    • Semilinear heat equations and the Navier-Stokes equation with distributions in new function spaces as initial data
    • K. Kozono and M. Yamazaki, Semilinear heat equations and the Navier-Stokes equation with distributions in new function spaces as initial data, Comm. Partial Differential Equation 19 (1994) 959-1014.
    • (1994) Comm. Partial Differential Equation , vol.19 , pp. 959-1014
    • Kozono, K.1    Yamazaki, M.2
  • 12
    • 0000781993 scopus 로고    scopus 로고
    • The complex Ginzburg-Landau equation as a model problem
    • Dynamical Systems and probabilistic methods for nonlinear waves
    • C.D. Levermore and M. Oliver, The complex Ginzburg-Landau equation as a model problem, in: Dynamical Systems and probabilistic methods for nonlinear waves, Lectures in Appl. Math., Vol. 31 (1996) 141-189.
    • (1996) Lectures in Appl. Math. , vol.31 , pp. 141-189
    • Levermore, C.D.1    Oliver, M.2
  • 15
    • 0001002549 scopus 로고
    • The global Cauchy problem for a relativistic scalar field with power interaction
    • I.E. Segal, The global Cauchy problem for a relativistic scalar field with power interaction, Bull. Soc. Math. France 91 (1963) 129-135.
    • (1963) Bull. Soc. Math. France , vol.91 , pp. 129-135
    • Segal, I.E.1
  • 16
    • 0009234413 scopus 로고
    • On weak solutions of semilinear hyperbolic equations
    • W. Strauss, On weak solutions of semilinear hyperbolic equations, An. Acad. Brasil. Cienc. 42 (1970) 645-651.
    • (1970) An. Acad. Brasil. Cienc. , vol.42 , pp. 645-651
    • Strauss, W.1
  • 21
    • 51249183619 scopus 로고
    • Existence and non existence of global solutions for a semilinear heat equation
    • F.B. Weissler, Existence and non existence of global solutions for a semilinear heat equation, Israel J. Math. 38 (1981) 29-40.
    • (1981) Israel J. Math. , vol.38 , pp. 29-40
    • Weissler, F.B.1
  • 23
    • 0000454926 scopus 로고
    • D Attractors for modulation equations on unbounded domains, exisence and comparison
    • A. Mielke and G. Schneider, D Attractors for modulation equations on unbounded domains, exisence and comparison, Nonlinearity 8 (1995) 743-768.
    • (1995) Nonlinearity , vol.8 , pp. 743-768
    • Mielke, A.1    Schneider, G.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.