401-3462-00L  Functional Analysis II

SemesterSpring Semester 2016
LecturersD. A. Salamon
Periodicityyearly recurring course
Language of instructionEnglish

AbstractSobolev spaces, Calderon-Zygmund inequality,
elliptic regularity, strongly continuous semigroups,
parabolic pde's.
ObjectiveThe lecture course will begin with an introduction to Sobolev spaces
and Sobolev embedding theorems, a proof of the Calderon-Zygmund
inequality, and regularity theorems for second order elliptic operators,
followed by an introduction to the theory of strongly continuous
operator semigroups and some basic results about parabolic regularity.
Applications to geometry will be included if time allows.