Nonsmooth Boundary Value Problems

This course covers the following learning outcomes and goals: understanding nonsmooth boundary value problems, exploring complex function theory, learning about bounded mean oscillation and oscillation, studying properties of harmonic functions, and examining boundary value problems and open problems in bounded domains. The course teaches individual skills and tools such as dual problem solving, Hilbert transform, bounded operators, BMO functions, LP spaces, Helder continuity, weak solution techniques, and properties of harmonic functions. The teaching method of the course involves lectures, examples, and problem-solving sessions. The intended audience for this course includes mathematicians, researchers, and students interested in boundary value problems, complex function theory, and harmonic functions.