Vladimir Maz'ya

Abstract:   The problem of finding a solution of a partial differential equation inside a domain with a prescribed boundary conditions has a long and rich history. During the last 200 years many important properties were discovered in the case when the boundary is smooth.

Many of these properties fail if the boundary has singularities. The others are preserved if the singularities are not too bad. I will survey new results in this area, in particular, Wiener-type test for regularity of a boundary point for higher order elliptic equations. I will also discuss some mysterious counterexamples and present open problems.

Here are some directions to Northeastern University. Lake Hall and Nightingale Hall can be best accessed from the entrance on the corner of Greenleaf Street and Leon Street. The two halls are connected, with no well-defined boundary in between. In particular, 509 Lake Hall is on the same corridor as 544 Nightingale Hall.

There is free parking available for people coming to the Colloquium at Northeastern's visitor parking (Rennaisance Garage). The entrance is from Columbus Avenue. If coming by car, you should park there and take the parking talon. After the lecture, you may pick up the payment coupon from Maxim Braverman.