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Volumn 22, Issue 1-2, 1997, Pages 39-48

Distribution-valued initial data for the complex Ginzburg-Landau equation

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EID: 0000873295     PISSN: 03605302     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (17)

References (11)
  • 2
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    • Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations, part I: Schrödinger equations
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    • (1993) Geometric and Func. Anal. , vol.3 , pp. 107-156
    • Bourgain, J.1
  • 3
    • 0000710855 scopus 로고
    • Exponential sums and nonlinear Schrödinger equations
    • J. Bourgain, Exponential Sums and Nonlinear Schrödinger Equations. Geometric and Func. Anal. 3 (1993), 157-178.
    • (1993) Geometric and Func. Anal. , vol.3 , pp. 157-178
    • Bourgain, J.1
  • 5
    • 0000287007 scopus 로고
    • Regularity of solutions and the convergence of the Galerkin method in the Ginzburg-Landau equation
    • A. Doelman and E.S. Titi, Regularity of Solutions and the Convergence of the Galerkin Method in the Ginzburg-Landau Equation, Num. Func. Anal. and Opt. 14 (1993), 299-321.
    • (1993) Num. Func. Anal. and Opt. , vol.14 , pp. 299-321
    • Doelman, A.1    Titi, E.S.2
  • 6
    • 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
  • 7
    • 49249148441 scopus 로고
    • On a class of nonlinear Schrodinger equations I: The cauchy problem, general case
    • J. Ginibre and G. Velo, On a Class of Nonlinear Schrodinger Equations I: The Cauchy Problem, General Case, Journal of Functional Analysis 32 (1079), 1-32.
    • (1079) Journal of Functional Analysis , vol.32 , pp. 1-32
    • Ginibre, J.1    Velo, G.2
  • 8
    • 0003304963 scopus 로고
    • Geometric theory of semilinear parabolic equations
    • Springer-Verlag, Berlin
    • D. Henry, Geometric Theory of Semilinear Parabolic Equations, Lecture Notes in Mathematics 840, Springer-Verlag, Berlin, 1981.
    • (1981) Lecture Notes in Mathematics , vol.840
    • Henry, D.1
  • 9
    • 0000781993 scopus 로고    scopus 로고
    • The complex Ginzburg-landau Equation as a model problem
    • Dynamical Systems and Probabilistic Methods in Partial Differential Equations, P. Deift et al. eds., AMS, Providence, Rhode Island
    • C.D. Levermore and M. Oliver, The Complex Ginzburg-Landau Equation as a Model Problem, Lectures in Applied Mathematics 31, Dynamical Systems and Probabilistic Methods in Partial Differential Equations, P. Deift et al. eds., AMS, Providence, Rhode Island (1996), 141-190.
    • (1996) Lectures in Applied Mathematics , vol.31 , pp. 141-190
    • Levermore, C.D.1    Oliver, M.2
  • 10
    • 0003316678 scopus 로고
    • Semigroups of linear operators and applications to partial differential equations
    • Springer-Verlag, New York
    • A. Pazy, Semigroups of Linear Operators and Applications to Partial Differential Equations, Appl. Math. Sci. 44, Springer-Verlag, New York, 1983.
    • (1983) Appl. Math. Sci. , vol.44
    • Pazy, A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.