TIME DEPENDENT PROBLEMS

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• Initial Value Problems of Hyperbolic Type
  • The wave equation -- hyperbolicity by the energy method
  • The wave equation -- hyperbolicity by Fourier analysis
  • Hyperbolic systems with constant coefficients
  • Hyperbolic systems with variable coefficients
• Initial Value Problems of Parabolic Type
  • The heat equation -- Fourier analysis and the energy method
  • Parabolic systems
• Well-Posed Time-Dependent Problems