[ TM1WAVOSING ] VL Singular integrals and potential theory

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
Changing subject? No
On-site course
Maximum number of participants -
Assignment procedure Direct assignment