Institut für Numerische Mathematik
Lecture in Winter Term 2011/12
Partielle Differentialgleichungen 2 (also announced as: Grundthemen Analysis)
(Partial Differential Equations 2)
Contents
  • Classical Dirichlet problem, Green's function
  • Fourier transformation, Sobolev spaces, distributions
  • Elliptic differential operators of second order
  • Boundary value problems
  • Regularity of solutions
Lecture
Exercises
Literature
  • W. Arendt and K. Urban, Partielle Differentialgleichungen, Spektrum Akademischer Verlag, 2010
  • D. Haroske and H. Triebel, Distributions, Sobolev Spaces, Elliptic equations, EMS Textbooks in Mathematics, 2008
  • 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.