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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

Read 629 times Last modified on Thursday, 13 June 2024 10:07