Institute of Applied Mathematics
Lecture in Summer Term 2023
Partial differential equations and boundary value problems
Content
Sobolev spaces Elliptic differential equations Existence and uniqueness of solutions, regularity Dirichlet, Neumann- and Robin boundary value problems Spectral theory of differential operators, Schrödinger operators
Lecture
Petr Siegl room STEG006, every Thursday 16.00 - 19.15 except for April 20, May 25, June 22 and teaching free days (April 6, 13, May 18, June 8) lectures will be recorded and available at TUGonline Lecture notes
Exercises
Dale Frymark room STEG006, Thursday April 20, May 25, June 22 at 16.00 - 19.15 details at TUGonline Exercise sheets
Textbooks
W. Arendt and K. Urban, Partielle Differenzialgleichungen, Spektrum Akademischer Verlag, 2010 L. C. Evans, Partial differential equations, Graduate Studies in Mathematics Vol. 19, AMS, 1998 G. Grubb, Distributions and operators, Graduate Texts in Mathematics Vol. 252, Springer, 2009. D. Haroske and H. Triebel, Distributions, Sobolev Spaces, elliptic equations, EMS Textbooks in Mathematics, 2008 W. McLean, Strongly elliptic systems and boundary integral equations, Cambridge University Press, Cambridge, 2000.