401-4475-66L Partial Differential Equations and Semigroups of Bounded Linear Operators
Semester | Herbstsemester 2016 |
Dozierende | A. Jentzen |
Periodizität | einmalige Veranstaltung |
Lehrsprache | Englisch |
Kurzbeschreibung | In 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. |
Lernziel | The 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. |
Inhalt | The 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. |
Skript | Lecture Notes are available in the lecture homepage (please follow the link in the Learning materials section). |
Literatur | 1. 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). |
Voraussetzungen / Besonderes | Mandatory prerequisites: Functional analysis Start of lectures: Friday, September 23, 2016 For more details, please follow the link in the Learning materials section. |