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

Published online by Cambridge University Press:  25 March 2009

Francesco Petitta
Francesco Petitta
Affiliation:
CMA, University of Oslo, PO Box 1053 Blindern, 0316 Oslo, Norway (francesco.petitta@cma.uio.no)
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Abstract

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

where Δp=div(|∇u|p−2∇u) 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.

Information

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 139 , Issue 2 , April 2009 , pp. 381 - 392
Copyright
Copyright © Royal Society of Edinburgh 2009

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