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

Francesco Petitta

doi:10.1017/S0308210507001163

Abstract

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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.

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

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