**SMS scnews item created by Daniel Daners at Fri 9 Apr 2010 1031**

Type: Seminar

Distribution: World

Expiry: 12 Apr 2010

**Calendar1: 12 Apr 2010 1500-1600**

**CalLoc1: Carslaw 273**

Auth: daners@p7153.pc.maths.usyd.edu.au

### PDE Seminar

# Elliptic equations with singular lower order terms

### Lieberman

Gary Lieberman

Iowa State University

12 April 2010, 3-4pm, Carslaw Room 273

## Abstract

The classical theory of elliptic equations assumes that the lower order
terms are all bounded (or are in some L^{p}-space with p sufficiently large). In this
talk, we examine equations with singular lower order terms. Although some
elements of the classical theory can be carried over to this case, several
interesting new phenomena occur. In some cases, the equation has only
one bounded solution in a given bounded domain. In other cases, there
are solutions for arbitrary Dirichlet data but only one smooth solution.

Check also the PDE
Seminar page. Enquiries to Florica
Cîrstea or Daniel Daners.