Nina Uraltseva: Maximum principle and related topics
(Saint Petersburg State University, Mathematical Physics Department)
Wednesday, June 17th 2009, 4:15 p.m.
Felix Klein Hörsaal, Mathematisches Institut, Johannisgasse 26, 04103 Leipzig
Maximum principle is one of the strongest tools in the theory of the second order elliptic and parabolic equations. It is closely related to such properties of classical solutions as strong maximum principle, the Harnack inequality, the Liouville theorem and the Hopf boundary lemma. These facts hold true for wider classes of solutions if all the coefficients in an equation are bounded. We will discuss to what extent the conditions on the coefficients may be weakened.