401-4475-66L  Partial Differential Equations and Semigroups of Bounded Linear Operators

SemesterAutumn Semester 2016
LecturersA. Jentzen
Periodicitynon-recurring course
Language of instructionEnglish


AbstractIn this course we study the concept of a semigroup of bounded linear operators and we use this concept to investigate existence, uniqueness, and regularity properties of solutions of partial differential equations (PDEs) of the evolutionary type.
ObjectiveThe aim of this course is to teach the students a decent knowledge (i) on semigroups of bounded linear operators, (ii) on solutions of partial differential equations (PDEs) of the evolutionary type, and (iii) on the analytic concepts used to formulate and study such semigroups and such PDEs.
ContentThe course includes content (i) on semigroups of bounded linear operators, (ii) on solutions of partial differential equations (PDEs) of the evolutionary type, and (iii) on the analytic concepts used to formulate and study such semigroups and such PDEs. Key example PDEs that are treated in this course are heat and wave equations.
Lecture notesLecture Notes are available in the lecture homepage (please follow the link in the Learning materials section).
Literature1. Amnon Pazy, Semigroups of linear operators and applications to partial differential equations. Springer-Verlag, New York (1983).

2. Klaus-Jochen Engel and Rainer Nagel, One-parameter semigroups for linear evolution equations. Springer-Verlag, New York (2000).
Prerequisites / NoticeMandatory prerequisites: Functional analysis

Start of lectures: Friday, September 23, 2016
For more details, please follow the link in the Learning materials section.