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 2022W
Objectives
Students will be able to handle singular integral operators and to apply them to regularity and existence for solutions to Dirichlet problems in non-smooth/fractal domains.
Subject
This course presents important classes of integral operators arising frequently in pure and applied harmonic analysis, digital signal processing, optics and electrical engineering. The course covers the Hilbert transform, Riesz transforms, double layer potentials, Calderon-Zygmund operators and applies them to the regularity and existence theory for solutions of the Laplacian operator.
Criteria for evaluation
Oral exam
Methods
Blackbord presentation
Language
English and French
Study material
Course notes and weekly handouts
Changing subject?
No
Further information
Until term 2022S known as: TM1WAVOSING VL Singular integrals and potential theory
Earlier variants
They also cover the requirements of the curriculum (from - to) TM1WAVOSING: VO Singular integrals and potential theory (2002W-2022S)