[ 201ANASSIPV22 ] VL Singular Integrals and Potential Theory

Es ist eine neuere Version 2023W dieser LV im Curriculum Bachelor's programme Technical 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)
On-site course
Maximum number of participants -
Assignment procedure Direct assignment