Es ist eine neuere Version 2023W dieser LV im Curriculum Master's programme Industrial Mathematics 2024W vorhanden.
Workload
Education level
Study areas
Responsible person
Hours per week
Coordinating university
3 ECTS
B3 - Bachelor's programme 3. year
Mathematics
Paul Müller
2 hpw
Johannes Kepler University Linz
Detailed information
Original study plan
Bachelor's programme Technical Mathematics 2009W
Objectives
Mastering the basic methods and techniques
relating to singular integral operators.
Applying them as solution operators
(double layer potentials) and as parametrix of
elliptic PDE.
Subject
Interpolation of operatoren,
Hilbert transform, Riesz transforms,
Fourier Multipliers, Littlewood Paley Theorie.
David Journee theorem
Boundary layer potential
Regularity estimates for Poisson Problems
Criteria for evaluation
Exam
Methods
Real and harmonic Analysis. Geometric Measure theory
Language
German
Study material
Mueller/Kindermann Skriptum Singulaere Integraloperatoren E. M. Stein Harmonic Analysis
