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Seminar Abstracts

James Serrin, University of Minnesota, Minneapolis

"Dead cores and bursts for singular elliptic equations"

Abstract

We consider singular elliptic partial differential equations of the form

\begin{displaymath}
\mbox{div}\,\{A(\vert Du\vert)Du\} - f(u) = 0
\end{displaymath}

and show that under certain general conditions on the operator $A(\vert Du\vert)$ and on the nonlinearity $f(u)$ there exist dead core solutions, and even more, solutions which involve both a dead core and ``bursts'' within the core.

The closely related problem of solutions in an exterior domain that have compact support (dead core at infinity) will also be considered.

TUESDAY, April 15, 2003
Time:
1:30
Location: Wean Hall 5403