On the Kneser’s Property for the Complex Ginzburg–Landau Equation and the Lotka–Volterra System with Diffusion

  • Mikhail Z. Zgurovsky
  • Pavlo O. Kasyanov
  • Oleksiy V. Kapustyan
  • José Valero
  • Nina V. Zadoianchuk
Part of the Advances in Mechanics and Mathematics book series (AMMA, volume 27)


As we have seen in the previous chapters when we consider the Cauchy problem of a differential equation and uniqueness fails to hold (or it is not known to hold), then we have to consider a set of solutions corresponding to a given initial data.


Weak Solution Cauchy Problem Smooth Boundary Global Attractor Landau Equation 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Mikhail Z. Zgurovsky
    • 1
  • Pavlo O. Kasyanov
    • 2
  • Oleksiy V. Kapustyan
    • 2
  • José Valero
    • 3
  • Nina V. Zadoianchuk
    • 2
  1. 1.Institute for Applied System AnalysisNational Academy of Science National Technical University of UkraineKyivUkraine
  2. 2.Kyiv Polytechnic Institute Institute for Applied System AnalysisNational Technical University of UkraineKyivUkraine
  3. 3.Centro de Investigación OperativaUniv. Miguel Hernández de ElcheAlicanteSpain

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