Proceedings of the Royal Society of Edinburgh: Section A Mathematics

Research Article

A non-existence result for nonlinear parabolic equations with singular measures as data

Francesco Petittaa1

a1 CMA, University of Oslo, PO Box 1053 Blindern, 0316 Oslo, Norway (francesco.petitta@cma.uio.no)

Abstract

In this paper we prove a non-existence result for nonlinear parabolic problems with zero lower-order terms whose model is

S0308210507001163_eqnU1

where Δp=div(|xs2207u|p−2xs2207u) is the usual p-laplace operator, λ is measure concentrated on a set of zero parabolic r-capacity (1<p<r) and q is large enough.

(Received November 13 2007)

(Accepted March 27 2008)