Semigroups & Evolution Equations
Additional Info
- ECTS credits: 10
- University: Leibniz University Hannover
- Semester: 3
- Lecturer 1: Johannes Lankeit
- Lecturer 2: Christoph Walker
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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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Course units
