Semigroups & Evolution Equations

Additional Info

  • ECTS credits: 10
  • University: Leibniz University Hannover
  • Semester: 3
  • Objectives:

     

    Semigroup theory provides a functional analytic approach to
    numerous evolution problems where the initial state of a system uniquely
    determines the future of the system. In this lecture strongly continuous
    and analytic semigroups will be investigated and used to solve linear and semilinear equations.

  • Topics:

     

    Unbounded operators
    Strongly continuous and analytic semigroups
    Characterization theorems
    Interpolation theory
    Linear and semilinear hyperbolic and parabolic Cauchy problems
    Applications e.g. to transport, heat, wave, and Schrödinger equations

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