Dynamischer Default-Fachbereich geändert auf MAT

Course MAT-71-13-K-7

Operator Semigroups and Applications to PDE (4V+2U, 9.0 LP)

Course Type

SWS	Type	Course Form	CP (Effort)	Presence-Time / Self-Study
-	K	Lecture with exercise classes (V/U)	9.0 CP		186 h
4	V	Lecture		56 h
2	U	Exercise class (in small groups)		28 h
(4V+2U)			9.0 CP	84 h	186 h

Basedata

SWS	4V+2U
CP, Effort	9.0 CP = 270 h
Position of the semester	1 Sem. irreg.
Level	[7] Master (Advanced)
Language	[EN] English
Lecturers	Grothaus, Martin, Prof. Dr. (PROF \| DEPT: MAT) + further Lecturers of the department Mathematics
Area of study	[MAT-SPAS] Analysis and Stochastics
Additional informations
Livecycle-State	[NORM] Active

Contents

definitions, generators, resolvents, examples,
Hille-Yosida theorem, Lumer-Phillips theorem,
contraction semigroups, analytic semigroups, operator groups,
approximations, perturbations,
applications to partial differential equation (including heat equation, wave equation, Schrödinger equation).

Literature

E.B. Davies: One Parameter Semigroups,
K.-J. Engel, R. Nagel: A Short Course on Operator Semigroups,
K.-J. Engel, R. Nagel: One-Parameter Semigroups for Linear Evolution Equations,
J. Goldstein: Semigroups of Linear Operators and Applications,
A. Pazy: Semigroups of Linear Operators and Applications to Partial Differential Equations.

Materials

Further literature will be announced in the lecture; Exercise material is provided.

Registration

Registration for the exercise classes via the online administration system URM (https://urm.mathematik.uni-kl.de).

Requirements for attendance (informal)

Modules:

Requirements for attendance (formal)

None

References to Course [MAT-71-13-K-7]

Module	Name	Context
[MAT-71-13-M-7]	Operator Semigroups and Applications to PDE	P: Obligatory	4V+2U, 9.0 LP