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Institute for Analysis

Workgroup Nonlinear Partial Differential Equations

Functional Analysis

Functional Analysis

Functional Analysis (Winter Semester 2022/23)

Lecturer: JProf. Dr. Xian Liao
Classes: Lecture (0104800), Problem class (0104810)
Weekly hours: 4+2

Schedule
Lecture:	Monday 11:30-13:00	20.30 1. OG R. 1.66/ 1.67
	Friday 11:30-13:00	20.30 1. OG R. 1.66/ 1.67
Problem class:	Wednesday 8:00-9:30	20.30 1. OG R. 1.66/ 1.67

Lecturers
Lecturer	JProf. Dr. Xian Liao
	Office hours: by appointment
	Room 3.027 Kollegiengebäude Mathematik (20.30)
	Email: xian.liao@kit.edu
Problem classes	M. Sc. Rebekka Zimmermann
	Office hours: by appointment
	Room 3.030 Kollegiengebäude Mathematik (20.30)
	Email: rebekka.zimmermann@kit.edu

In this lecture we are going to view the functions as points in the functional spaces. Various spaces such as normed spaces, Banach spaces, Hilbert spaces, Lebesgue spaces, distribution spaces, Sobolev spaces, will be introduced and discussed.

Prerequisites:
Analysis I, II, III, Linear Algebra.

Lecture Notes:
Lecture Notes (Version 17.02.2023)

Solutions
Solutions sheet 1
Solutions sheet 2
Solutions sheet 3
Solutions sheet 4
Solutions sheet 5
Solutions sheet 6
Solutions sheet 7
Solutions sheet 8
Solutions sheet 9
Solutions sheet 10
Solutions sheet 11
Solutions sheet 12
Solutions sheet 13
Solutions sheet 14

Examination

Exam from 28.02.2023

Die Nach-Klausur im Sommersemester 2023 findet ebenfalls in englischer Sprache statt.
The next written examination in Summer Semester 2023 will also be in english language.

The makeup exam takes place on 01.08.2023:
10:00-12:00, SR. 1.067, Buildg. 20.30

The post-exam review takes place on Friday, 11.08.2023 in Office 3.030 between 10:00 and 12:00.