KIT - Department of Mathematics - Functional Analysis (Winter Semester 2022/23)

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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 30.01.2023)

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